The number 72875
72875 is a composite number with 16 divisors. Its prime factorisation is × 11 × 53. Divisors (16): 1, 5, 11, 25, 53, 55, 125, 265, 275, 583, 1325, 1375, 2915, 6625, 14575, 72875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72875 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72875 is composite. Its prime factorisation is
- 3
The divisors add up to 101088; without 72875 itself that is 28213, so 72875 is deficient (28213 is less than 72875). Euler's totient φ(72875) = 52000 numbers up to 72875 share no factor with it.
- 4
The digits of 72875 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72875 = 5^{3} \times 11 \times 53 \]72875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 101088 |
| Euler totient φ(n) | 52000 |
| Square | 5310765625 |
| Cube | 387022044921875 |
| Square root | 269.953700 (= 5√2915) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2875 × |
72875 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand eight hundred and seventy-five |
| Binary (base 2) | 10001110010101011 |
| Octal (base 8) | 216253 |
| Hexadecimal (base 16) | 11CAB |
| Base 3 | 10200222002 |
| As time | 72875 seconds = 20 h 14 min 35 s |
Is 72875 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 2) | 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 (72875 ÷ 5 = 14575) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 2) | 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 | Yes (72875 ÷ 11 = 6625) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72875 a prime number?
No. 72875 = × 11 × 53, so it is divisible by 5.
What are the factors of 72875?
1, 5, 11, 25, 53, 55, 125, 265, 275, 583, 1325, 1375, 2915, 6625, 14575, 72875.
What is 72875 in binary?
10001110010101011 (hexadecimal 11CAB, octal 216253).
What is the square root of 72875?
About 269.9537, exactly 5√2915.
Is 72875 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 72875?
It is a composite number with 16 divisors.