The number 72716
72716 is a composite number with 24 divisors. Its prime factorisation is × × 53. Divisors (24): 1, 2, 4, 7, 14, 28, 49, 53, 98, 106, 196, 212, 343, 371, 686, 742 … 72716.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72716: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72716 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 72716 itself that is 78484, so 72716 is abundant (78484 is more than 72716). Euler's totient φ(72716) = 30576 numbers up to 72716 share no factor with it.
- 4
The digits of 72716 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72716 = 2^{2} \times 7^{3} \times 53 \]72716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 30576 |
| Square | 5287616656 |
| Cube | 384494332757696 |
| Square root | 269.659044 (= 14√371) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2716 × |
72716 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and sixteen |
| Binary (base 2) | 10001110000001100 |
| Octal (base 8) | 216014 |
| Hexadecimal (base 16) | 11C0C |
| Base 3 | 10200202012 |
| As time | 72716 seconds = 20 h 11 min 56 s |
Is 72716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72716 ÷ 2 = 36358) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72716 ÷ 4 = 18179) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (72716 ÷ 7 = 10388) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72716 a prime number?
No. 72716 = × × 53, so it is divisible by 2.
What are the factors of 72716?
1, 2, 4, 7, 14, 28, 49, 53, 98, 106, 196, 212, 343, 371, 686, 742, 1372, 1484, 2597, 5194, 10388, 18179, 36358, 72716.
What is 72716 in binary?
10001110000001100 (hexadecimal 11C0C, octal 216014).
What is the square root of 72716?
About 269.6590, exactly 14√371.
Is 72716 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 72716?
72716 is a happy number: repeatedly adding the squares of its digits reaches 1.