The number 72708
72708 is a composite number with 24 divisors. Its prime factorisation is × 3 × 73 × 83. Divisors (24): 1, 2, 3, 4, 6, 12, 73, 83, 146, 166, 219, 249, 292, 332, 438, 498 … 72708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72708 is composite. Its prime factorisation is
- 3
The divisors add up to 174048; without 72708 itself that is 101340, so 72708 is abundant (101340 is more than 72708). Euler's totient φ(72708) = 23616 numbers up to 72708 share no factor with it.
- 4
The digits of 72708 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72708 = 2^{2} \times 3 \times 73 \times 83 \]72708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 174048 |
| Euler totient φ(n) | 23616 |
| Square | 5286453264 |
| Cube | 384367443918912 |
| Square root | 269.644210 (= 2√18177) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2708 × |
72708 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and eight |
| Binary (base 2) | 10001110000000100 |
| Octal (base 8) | 216004 |
| Hexadecimal (base 16) | 11C04 |
| Base 3 | 10200201220 |
| As time | 72708 seconds = 20 h 11 min 48 s |
Is 72708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72708 ÷ 2 = 36354) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72708 ÷ 3 = 24236) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72708 ÷ 4 = 18177) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72708 ÷ 6 = 12118) | 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 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72708 ÷ 12 = 6059) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72708 a prime number?
No. 72708 = × 3 × 73 × 83, so it is divisible by 2.
What are the factors of 72708?
1, 2, 3, 4, 6, 12, 73, 83, 146, 166, 219, 249, 292, 332, 438, 498, 876, 996, 6059, 12118, 18177, 24236, 36354, 72708.
What is 72708 in binary?
10001110000000100 (hexadecimal 11C04, octal 216004).
What is the square root of 72708?
About 269.6442, exactly 2√18177.
Is 72708 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 72708?
It is a composite number with 24 divisors.