The number 72132
72132 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6011. Divisors (12): 1, 2, 3, 4, 6, 12, 6011, 12022, 18033, 24044, 36066, 72132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72132 is composite. Its prime factorisation is
- 3
The divisors add up to 168336; without 72132 itself that is 96204, so 72132 is abundant (96204 is more than 72132). Euler's totient φ(72132) = 24040 numbers up to 72132 share no factor with it.
- 4
The digits of 72132 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72132 = 2^{2} \times 3 \times 6011 \]72132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 168336 |
| Euler totient φ(n) | 24040 |
| Square | 5203025424 |
| Cube | 375304629883968 |
| Square root | 268.574012 (= 2√18033) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.2132 × |
72132 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and thirty-two |
| Binary (base 2) | 10001100111000100 |
| Octal (base 8) | 214704 |
| Hexadecimal (base 16) | 119C4 |
| Base 3 | 10122221120 |
| As time | 72132 seconds = 20 h 2 min 12 s |
Is 72132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72132 ÷ 2 = 36066) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72132 ÷ 3 = 24044) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72132 ÷ 4 = 18033) | 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 (72132 ÷ 6 = 12022) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72132 ÷ 12 = 6011) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72132 a prime number?
No. 72132 = × 3 × 6011, so it is divisible by 2.
What are the factors of 72132?
1, 2, 3, 4, 6, 12, 6011, 12022, 18033, 24044, 36066, 72132.
What is 72132 in binary?
10001100111000100 (hexadecimal 119C4, octal 214704).
What is the square root of 72132?
About 268.5740, exactly 2√18033.
Is 72132 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 72132?
It is a composite number with 12 divisors.