The number 72475
72475 is a composite number with 12 divisors. Its prime factorisation is × 13 × 223. Divisors (12): 1, 5, 13, 25, 65, 223, 325, 1115, 2899, 5575, 14495, 72475.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72475: a Harshad number: divisible by its digit sum 25.
- 2
72475 is composite. Its prime factorisation is
- 3
The divisors add up to 97216; without 72475 itself that is 24741, so 72475 is deficient (24741 is less than 72475). Euler's totient φ(72475) = 53280 numbers up to 72475 share no factor with it.
- 4
The digits of 72475 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72475 = 5^{2} \times 13 \times 223 \]72475 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 97216 |
| Euler totient φ(n) | 53280 |
| Square | 5252625625 |
| Cube | 380684042171875 |
| Square root | 269.211813 (= 5√2899) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.2475 × |
72475 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and seventy-five |
| Binary (base 2) | 10001101100011011 |
| Octal (base 8) | 215433 |
| Hexadecimal (base 16) | 11B1B |
| Base 3 | 10200102021 |
| As time | 72475 seconds = 20 h 7 min 55 s |
Is 72475 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 1) | 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 (72475 ÷ 5 = 14495) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72475 a prime number?
No. 72475 = × 13 × 223, so it is divisible by 5.
What are the factors of 72475?
1, 5, 13, 25, 65, 223, 325, 1115, 2899, 5575, 14495, 72475.
What is 72475 in binary?
10001101100011011 (hexadecimal 11B1B, octal 215433).
What is the square root of 72475?
About 269.2118, exactly 5√2899.
Is 72475 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 72475?
72475 is a Harshad number: divisible by its digit sum 25.