The number 72150
72150 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 13 × 37. Divisors (48): 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 37, 39, 50, 65, 74 … 72150.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72150: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.
- 2
72150 is composite. Its prime factorisation is
- 3
The divisors add up to 197904; without 72150 itself that is 125754, so 72150 is abundant (125754 is more than 72150). Euler's totient φ(72150) = 17280 numbers up to 72150 share no factor with it.
- 4
The digits of 72150 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72150 = 2 \times 3 \times 5^{2} \times 13 \times 37 \]72150 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 197904 |
| Euler totient φ(n) | 17280 |
| Square | 5205622500 |
| Cube | 375585663375000 |
| Square root | 268.607520 (= 5√2886) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.215 × |
72150 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and fifty |
| Binary (base 2) | 10001100111010110 |
| Octal (base 8) | 214726 |
| Hexadecimal (base 16) | 119D6 |
| Base 3 | 10122222020 |
| As time | 72150 seconds = 20 h 2 min 30 s |
Is 72150 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72150 ÷ 2 = 36075) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72150 ÷ 3 = 24050) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72150 ÷ 5 = 14430) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72150 ÷ 6 = 12025) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72150 ÷ 10 = 7215) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72150 a prime number?
No. 72150 = 2 × 3 × × 13 × 37, so it is divisible by 2.
What are the factors of 72150?
1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 37, 39, 50, 65, 74, 75, 78, 111, 130, 150, 185, 195, 222, 325, 370, 390, 481, 555, 650, 925, 962, 975, 1110, 1443, 1850, 1950, 2405, 2775, 2886, 4810, 5550, 7215, 12025, 14430, 24050, 36075, 72150.
What is 72150 in binary?
10001100111010110 (hexadecimal 119D6, octal 214726).
What is the square root of 72150?
About 268.6075, exactly 5√2886.
Is 72150 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 72150?
72150 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.