The number 72709
72709 is a composite number with 16 divisors. Its prime factorisation is 7 × 13 × 17 × 47. Divisors (16): 1, 7, 13, 17, 47, 91, 119, 221, 329, 611, 799, 1547, 4277, 5593, 10387, 72709.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72709 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72709 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 72709 itself that is 24059, so 72709 is deficient (24059 is less than 72709). Euler's totient φ(72709) = 52992 numbers up to 72709 share no factor with it.
- 4
The digits of 72709 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72709 = 7 \times 13 \times 17 \times 47 \]
72709 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 52992 |
| Square | 5286598681 |
| Cube | 384383303496829 |
| Square root | 269.646064 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2709 × |
72709 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and nine |
| Binary (base 2) | 10001110000000101 |
| Octal (base 8) | 216005 |
| Hexadecimal (base 16) | 11C05 |
| Base 3 | 10200201221 |
| As time | 72709 seconds = 20 h 11 min 49 s |
Is 72709 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (72709 ÷ 7 = 10387) | 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 5) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72709 a prime number?
No. 72709 = 7 × 13 × 17 × 47, so it is divisible by 7.
What are the factors of 72709?
1, 7, 13, 17, 47, 91, 119, 221, 329, 611, 799, 1547, 4277, 5593, 10387, 72709.
What is 72709 in binary?
10001110000000101 (hexadecimal 11C05, octal 216005).
What is the square root of 72709?
About 269.6461.
Is 72709 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 72709?
It is a composite number with 16 divisors.