The number 72732
72732 is a composite number with 48 divisors. Its prime factorisation is × 3 × 11 × 19 × 29. Divisors (48): 1, 2, 3, 4, 6, 11, 12, 19, 22, 29, 33, 38, 44, 57, 58, 66 … 72732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72732 is composite. Its prime factorisation is
- 3
The divisors add up to 201600; without 72732 itself that is 128868, so 72732 is abundant (128868 is more than 72732). Euler's totient φ(72732) = 20160 numbers up to 72732 share no factor with it.
- 4
The digits of 72732 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72732 = 2^{2} \times 3 \times 11 \times 19 \times 29 \]72732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 201600 |
| Euler totient φ(n) | 20160 |
| Square | 5289943824 |
| Cube | 384748194207168 |
| Square root | 269.688709 (= 2√18183) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2732 × |
72732 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and thirty-two |
| Binary (base 2) | 10001110000011100 |
| Octal (base 8) | 216034 |
| Hexadecimal (base 16) | 11C1C |
| Base 3 | 10200202210 |
| As time | 72732 seconds = 20 h 12 min 12 s |
Is 72732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72732 ÷ 2 = 36366) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72732 ÷ 3 = 24244) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72732 ÷ 4 = 18183) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72732 ÷ 6 = 12122) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72732 ÷ 11 = 6612) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72732 ÷ 12 = 6061) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72732 a prime number?
No. 72732 = × 3 × 11 × 19 × 29, so it is divisible by 2.
What are the factors of 72732?
1, 2, 3, 4, 6, 11, 12, 19, 22, 29, 33, 38, 44, 57, 58, 66, 76, 87, 114, 116, 132, 174, 209, 228, 319, 348, 418, 551, 627, 638, 836, 957, 1102, 1254, 1276, 1653, 1914, 2204, 2508, 3306, 3828, 6061, 6612, 12122, 18183, 24244, 36366, 72732.
What is 72732 in binary?
10001110000011100 (hexadecimal 11C1C, octal 216034).
What is the square root of 72732?
About 269.6887, exactly 2√18183.
Is 72732 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 72732?
It is a composite number with 48 divisors.