The number 72712
72712 is a composite number with 16 divisors. Its prime factorisation is × 61 × 149. Divisors (16): 1, 2, 4, 8, 61, 122, 149, 244, 298, 488, 596, 1192, 9089, 18178, 36356, 72712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72712 is composite. Its prime factorisation is
- 3
The divisors add up to 139500; without 72712 itself that is 66788, so 72712 is deficient (66788 is less than 72712). Euler's totient φ(72712) = 35520 numbers up to 72712 share no factor with it.
- 4
The digits of 72712 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72712 = 2^{3} \times 61 \times 149 \]72712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 139500 |
| Euler totient φ(n) | 35520 |
| Square | 5287034944 |
| Cube | 384430884848128 |
| Square root | 269.651627 (= 2√18178) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2712 × |
72712 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and twelve |
| Binary (base 2) | 10001110000001000 |
| Octal (base 8) | 216010 |
| Hexadecimal (base 16) | 11C08 |
| Base 3 | 10200202001 |
| As time | 72712 seconds = 20 h 11 min 52 s |
Is 72712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72712 ÷ 2 = 36356) | 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 | Yes (72712 ÷ 4 = 18178) | 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 | 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 | Yes (72712 ÷ 8 = 9089) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72712 a prime number?
No. 72712 = × 61 × 149, so it is divisible by 2.
What are the factors of 72712?
1, 2, 4, 8, 61, 122, 149, 244, 298, 488, 596, 1192, 9089, 18178, 36356, 72712.
What is 72712 in binary?
10001110000001000 (hexadecimal 11C08, octal 216010).
What is the square root of 72712?
About 269.6516, exactly 2√18178.
Is 72712 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72712?
It is a composite number with 16 divisors.