The number 72375
72375 is a composite number with 16 divisors. Its prime factorisation is 3 × × 193. Divisors (16): 1, 3, 5, 15, 25, 75, 125, 193, 375, 579, 965, 2895, 4825, 14475, 24125, 72375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72375 is composite. Its prime factorisation is
- 3
The divisors add up to 121056; without 72375 itself that is 48681, so 72375 is deficient (48681 is less than 72375). Euler's totient φ(72375) = 38400 numbers up to 72375 share no factor with it.
- 4
The digits of 72375 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72375 = 3 \times 5^{3} \times 193 \]72375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 121056 |
| Euler totient φ(n) | 38400 |
| Square | 5238140625 |
| Cube | 379110427734375 |
| Square root | 269.026021 (= 5√2895) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2375 × |
72375 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and seventy-five |
| Binary (base 2) | 10001101010110111 |
| Octal (base 8) | 215267 |
| Hexadecimal (base 16) | 11AB7 |
| Base 3 | 10200021120 |
| As time | 72375 seconds = 20 h 6 min 15 s |
Is 72375 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 (72375 ÷ 3 = 24125) | 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 (72375 ÷ 5 = 14475) | 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 2) | 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 7) | 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 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72375 a prime number?
No. 72375 = 3 × × 193, so it is divisible by 3.
What are the factors of 72375?
1, 3, 5, 15, 25, 75, 125, 193, 375, 579, 965, 2895, 4825, 14475, 24125, 72375.
What is 72375 in binary?
10001101010110111 (hexadecimal 11AB7, octal 215267).
What is the square root of 72375?
About 269.0260, exactly 5√2895.
Is 72375 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 72375?
It is a composite number with 16 divisors.