The number 72736
72736 is a composite number with 12 divisors. Its prime factorisation is × 2273. Divisors (12): 1, 2, 4, 8, 16, 32, 2273, 4546, 9092, 18184, 36368, 72736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72736 is composite. Its prime factorisation is
- 3
The divisors add up to 143262; without 72736 itself that is 70526, so 72736 is deficient (70526 is less than 72736). Euler's totient φ(72736) = 36352 numbers up to 72736 share no factor with it.
- 4
The digits of 72736 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72736 = 2^{5} \times 2273 \]72736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 143262 |
| Euler totient φ(n) | 36352 |
| Square | 5290525696 |
| Cube | 384811677024256 |
| Square root | 269.696125 (= 4√4546) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2736 × |
72736 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and thirty-six |
| Binary (base 2) | 10001110000100000 |
| Octal (base 8) | 216040 |
| Hexadecimal (base 16) | 11C20 |
| Base 3 | 10200202221 |
| As time | 72736 seconds = 20 h 12 min 16 s |
Is 72736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72736 ÷ 2 = 36368) | 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 (72736 ÷ 4 = 18184) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 (72736 ÷ 8 = 9092) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 72736 a prime number?
No. 72736 = × 2273, so it is divisible by 2.
What are the factors of 72736?
1, 2, 4, 8, 16, 32, 2273, 4546, 9092, 18184, 36368, 72736.
What is 72736 in binary?
10001110000100000 (hexadecimal 11C20, octal 216040).
What is the square root of 72736?
About 269.6961, exactly 4√4546.
Is 72736 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 72736?
It is a composite number with 12 divisors.