The number 72250
72250 is a composite number with 24 divisors. Its prime factorisation is 2 × × . Divisors (24): 1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 289, 425, 578, 850 … 72250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72250: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72250 is composite. Its prime factorisation is
- 3
The divisors add up to 143676; without 72250 itself that is 71426, so 72250 is deficient (71426 is less than 72250). Euler's totient φ(72250) = 27200 numbers up to 72250 share no factor with it.
- 4
The digits of 72250 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72250 = 2 \times 5^{3} \times 17^{2} \]72250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 143676 |
| Euler totient φ(n) | 27200 |
| Square | 5220062500 |
| Cube | 377149515625000 |
| Square root | 268.793601 (= 85√10) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.225 × |
72250 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and fifty |
| Binary (base 2) | 10001101000111010 |
| Octal (base 8) | 215072 |
| Hexadecimal (base 16) | 11A3A |
| Base 3 | 10200002221 |
| As time | 72250 seconds = 20 h 4 min 10 s |
Is 72250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72250 ÷ 2 = 36125) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (72250 ÷ 5 = 14450) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72250 ÷ 10 = 7225) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72250 a prime number?
No. 72250 = 2 × × , so it is divisible by 2.
What are the factors of 72250?
1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 289, 425, 578, 850, 1445, 2125, 2890, 4250, 7225, 14450, 36125, 72250.
What is 72250 in binary?
10001101000111010 (hexadecimal 11A3A, octal 215072).
What is the square root of 72250?
About 268.7936, exactly 85√10.
Is 72250 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72250?
72250 is a happy number: repeatedly adding the squares of its digits reaches 1.