The number 72160
72160 is a composite number with 48 divisors. Its prime factorisation is × 5 × 11 × 41. Divisors (48): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 41, 44, 55, 80 … 72160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72160: a Harshad number: divisible by its digit sum 16.
- 2
72160 is composite. Its prime factorisation is
- 3
The divisors add up to 190512; without 72160 itself that is 118352, so 72160 is abundant (118352 is more than 72160). Euler's totient φ(72160) = 25600 numbers up to 72160 share no factor with it.
- 4
The digits of 72160 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72160 = 2^{5} \times 5 \times 11 \times 41 \]72160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 190512 |
| Euler totient φ(n) | 25600 |
| Square | 5207065600 |
| Cube | 375741853696000 |
| Square root | 268.626134 (= 4√4510) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.216 × |
72160 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and sixty |
| Binary (base 2) | 10001100111100000 |
| Octal (base 8) | 214740 |
| Hexadecimal (base 16) | 119E0 |
| Base 3 | 10122222121 |
| As time | 72160 seconds = 20 h 2 min 40 s |
Is 72160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72160 ÷ 2 = 36080) | 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 (72160 ÷ 4 = 18040) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72160 ÷ 5 = 14432) | 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 | 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 | Yes (72160 ÷ 8 = 9020) | 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 (72160 ÷ 10 = 7216) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72160 ÷ 11 = 6560) | 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 72160 a prime number?
No. 72160 = × 5 × 11 × 41, so it is divisible by 2.
What are the factors of 72160?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 41, 44, 55, 80, 82, 88, 110, 160, 164, 176, 205, 220, 328, 352, 410, 440, 451, 656, 820, 880, 902, 1312, 1640, 1760, 1804, 2255, 3280, 3608, 4510, 6560, 7216, 9020, 14432, 18040, 36080, 72160.
What is 72160 in binary?
10001100111100000 (hexadecimal 119E0, octal 214740).
What is the square root of 72160?
About 268.6261, exactly 4√4510.
Is 72160 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72160?
72160 is a Harshad number: divisible by its digit sum 16.