The number 72500
72500 is a composite number with 30 divisors. Its prime factorisation is × × 29. Divisors (30): 1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 125, 145, 250, 290 … 72500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72500 is composite. Its prime factorisation is
- 3
The divisors add up to 164010; without 72500 itself that is 91510, so 72500 is abundant (91510 is more than 72500). Euler's totient φ(72500) = 28000 numbers up to 72500 share no factor with it.
- 4
The digits of 72500 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72500 = 2^{2} \times 5^{4} \times 29 \]72500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 164010 |
| Euler totient φ(n) | 28000 |
| Square | 5256250000 |
| Cube | 381078125000000 |
| Square root | 269.258240 (= 50√29) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.25 × |
72500 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand five hundred |
| Binary (base 2) | 10001101100110100 |
| Octal (base 8) | 215464 |
| Hexadecimal (base 16) | 11B34 |
| Base 3 | 10200110012 |
| As time | 72500 seconds = 20 h 8 min 20 s |
Is 72500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72500 ÷ 2 = 36250) | 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 | Yes (72500 ÷ 4 = 18125) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72500 ÷ 5 = 14500) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72500 ÷ 10 = 7250) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72500 a prime number?
No. 72500 = × × 29, so it is divisible by 2.
What are the factors of 72500?
1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 125, 145, 250, 290, 500, 580, 625, 725, 1250, 1450, 2500, 2900, 3625, 7250, 14500, 18125, 36250, 72500.
What is 72500 in binary?
10001101100110100 (hexadecimal 11B34, octal 215464).
What is the square root of 72500?
About 269.2582, exactly 50√29.
Is 72500 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 72500?
It is a composite number with 30 divisors.