The number 72675
72675 is a composite number with 36 divisors. Its prime factorisation is × × 17 × 19. Divisors (36): 1, 3, 5, 9, 15, 17, 19, 25, 45, 51, 57, 75, 85, 95, 153, 171 … 72675.
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How to work it out
- 1
72675 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72675 is composite. Its prime factorisation is
- 3
The divisors add up to 145080; without 72675 itself that is 72405, so 72675 is deficient (72405 is less than 72675). Euler's totient φ(72675) = 34560 numbers up to 72675 share no factor with it.
- 4
The digits of 72675 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72675 = 3^{2} \times 5^{2} \times 17 \times 19 \]72675 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 145080 |
| Euler totient φ(n) | 34560 |
| Square | 5281655625 |
| Cube | 383844322546875 |
| Square root | 269.583011 (= 15√323) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2675 × |
72675 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand six hundred and seventy-five |
| Binary (base 2) | 10001101111100011 |
| Octal (base 8) | 215743 |
| Hexadecimal (base 16) | 11BE3 |
| Base 3 | 10200200200 |
| As time | 72675 seconds = 20 h 11 min 15 s |
Is 72675 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 | Yes (72675 ÷ 3 = 24225) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72675 ÷ 5 = 14535) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72675 ÷ 9 = 8075) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72675 a prime number?
No. 72675 = × × 17 × 19, so it is divisible by 3.
What are the factors of 72675?
1, 3, 5, 9, 15, 17, 19, 25, 45, 51, 57, 75, 85, 95, 153, 171, 225, 255, 285, 323, 425, 475, 765, 855, 969, 1275, 1425, 1615, 2907, 3825, 4275, 4845, 8075, 14535, 24225, 72675.
What is 72675 in binary?
10001101111100011 (hexadecimal 11BE3, octal 215743).
What is the square root of 72675?
About 269.5830, exactly 15√323.
Is 72675 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72675?
It is a composite number with 36 divisors.