The number 72125
72125 is a composite number with 8 divisors. Its prime factorisation is Ć 577. Divisors (8): 1, 5, 25, 125, 577, 2885, 14425, 72125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72125 is composite. Its prime factorisation is
- 3
The divisors add up to 90168; without 72125 itself that is 18043, so 72125 is deficient (18043 is less than 72125). Euler's totient Ļ(72125) = 57600 numbers up to 72125 share no factor with it.
- 4
The digits of 72125 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72125 = 5^{3} \times 577 \]72125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 90168 |
| Euler totient Ļ(n) | 57600 |
| Square | 5202015625 |
| Cube | 375195376953125 |
| Square root | 268.560980 (= 5ā2885) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2125 Ć |
72125 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and twenty-five |
| Binary (base 2) | 10001100110111101 |
| Octal (base 8) | 214675 |
| Hexadecimal (base 16) | 119BD |
| Base 3 | 10122221022 |
| As time | 72125 seconds = 20 h 2 min 5 s |
Is 72125 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72125 Ć· 5 = 14425) | 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 4) | 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 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72125 a prime number?
No. 72125 = Ć 577, so it is divisible by 5.
What are the factors of 72125?
1, 5, 25, 125, 577, 2885, 14425, 72125.
What is 72125 in binary?
10001100110111101 (hexadecimal 119BD, octal 214675).
What is the square root of 72125?
About 268.5610, exactly 5ā2885.
Is 72125 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 72125?
It is a composite number with 8 divisors.