The number 72162
72162 is a composite number with 24 divisors. Its prime factorisation is 2 × × 19 × 211. Divisors (24): 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 211, 342, 422, 633, 1266 … 72162.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72162: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
72162 is composite. Its prime factorisation is
- 3
The divisors add up to 165360; without 72162 itself that is 93198, so 72162 is abundant (93198 is more than 72162). Euler's totient φ(72162) = 22680 numbers up to 72162 share no factor with it.
- 4
The digits of 72162 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72162 = 2 \times 3^{2} \times 19 \times 211 \]72162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 165360 |
| Euler totient φ(n) | 22680 |
| Square | 5207354244 |
| Cube | 375773096955528 |
| Square root | 268.629857 (= 3√8018) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2162 × |
72162 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and sixty-two |
| Binary (base 2) | 10001100111100010 |
| Octal (base 8) | 214742 |
| Hexadecimal (base 16) | 119E2 |
| Base 3 | 10122222200 |
| As time | 72162 seconds = 20 h 2 min 42 s |
Is 72162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72162 ÷ 2 = 36081) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72162 ÷ 3 = 24054) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72162 ÷ 6 = 12027) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (72162 ÷ 9 = 8018) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72162 a prime number?
No. 72162 = 2 × × 19 × 211, so it is divisible by 2.
What are the factors of 72162?
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 211, 342, 422, 633, 1266, 1899, 3798, 4009, 8018, 12027, 24054, 36081, 72162.
What is 72162 in binary?
10001100111100010 (hexadecimal 119E2, octal 214742).
What is the square root of 72162?
About 268.6299, exactly 3√8018.
Is 72162 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 72162?
72162 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.