The number 72520
72520 is a composite number with 48 divisors. Its prime factorisation is × 5 × × 37. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 37, 40, 49, 56, 70 … 72520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72520: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72520 is composite. Its prime factorisation is
- 3
The divisors add up to 194940; without 72520 itself that is 122420, so 72520 is abundant (122420 is more than 72520). Euler's totient φ(72520) = 24192 numbers up to 72520 share no factor with it.
- 4
The digits of 72520 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72520 = 2^{3} \times 5 \times 7^{2} \times 37 \]72520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 194940 |
| Euler totient φ(n) | 24192 |
| Square | 5259150400 |
| Cube | 381393587008000 |
| Square root | 269.295377 (= 14√370) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.252 × |
72520 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand five hundred and twenty |
| Binary (base 2) | 10001101101001000 |
| Octal (base 8) | 215510 |
| Hexadecimal (base 16) | 11B48 |
| Base 3 | 10200110221 |
| As time | 72520 seconds = 20 h 8 min 40 s |
Is 72520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72520 ÷ 2 = 36260) | 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 | Yes (72520 ÷ 4 = 18130) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72520 ÷ 5 = 14504) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (72520 ÷ 7 = 10360) | 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 | Yes (72520 ÷ 8 = 9065) | 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 | Yes (72520 ÷ 10 = 7252) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72520 a prime number?
No. 72520 = × 5 × × 37, so it is divisible by 2.
What are the factors of 72520?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 37, 40, 49, 56, 70, 74, 98, 140, 148, 185, 196, 245, 259, 280, 296, 370, 392, 490, 518, 740, 980, 1036, 1295, 1480, 1813, 1960, 2072, 2590, 3626, 5180, 7252, 9065, 10360, 14504, 18130, 36260, 72520.
What is 72520 in binary?
10001101101001000 (hexadecimal 11B48, octal 215510).
What is the square root of 72520?
About 269.2954, exactly 14√370.
Is 72520 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72520?
72520 is a happy number: repeatedly adding the squares of its digits reaches 1.