The number 72495
72495 is a composite number with 20 divisors. Its prime factorisation is × 5 × 179. Divisors (20): 1, 3, 5, 9, 15, 27, 45, 81, 135, 179, 405, 537, 895, 1611, 2685, 4833 … 72495.
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How to work it out
- 1
What is special about 72495: a Harshad number: divisible by its digit sum 27.
- 2
72495 is composite. Its prime factorisation is
- 3
The divisors add up to 130680; without 72495 itself that is 58185, so 72495 is deficient (58185 is less than 72495). Euler's totient φ(72495) = 38448 numbers up to 72495 share no factor with it.
- 4
The digits of 72495 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72495 = 3^{4} \times 5 \times 179 \]72495 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 130680 |
| Euler totient φ(n) | 38448 |
| Square | 5255525025 |
| Cube | 380999286687375 |
| Square root | 269.248955 (= 9√895) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2495 × |
72495 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and ninety-five |
| Binary (base 2) | 10001101100101111 |
| Octal (base 8) | 215457 |
| Hexadecimal (base 16) | 11B2F |
| Base 3 | 10200110000 |
| As time | 72495 seconds = 20 h 8 min 15 s |
Is 72495 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 (72495 ÷ 3 = 24165) | 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 (72495 ÷ 5 = 14499) | 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 3) | 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 | Yes (72495 ÷ 9 = 8055) | 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 5) | 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 72495 a prime number?
No. 72495 = × 5 × 179, so it is divisible by 3.
What are the factors of 72495?
1, 3, 5, 9, 15, 27, 45, 81, 135, 179, 405, 537, 895, 1611, 2685, 4833, 8055, 14499, 24165, 72495.
What is 72495 in binary?
10001101100101111 (hexadecimal 11B2F, octal 215457).
What is the square root of 72495?
About 269.2490, exactly 9√895.
Is 72495 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72495?
72495 is a Harshad number: divisible by its digit sum 27.