The number 72372
72372 is a composite number with 24 divisors. Its prime factorisation is × 3 × 37 × 163. Divisors (24): 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 163, 222, 326, 444, 489, 652 … 72372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72372 is composite. Its prime factorisation is
- 3
The divisors add up to 174496; without 72372 itself that is 102124, so 72372 is abundant (102124 is more than 72372). Euler's totient φ(72372) = 23328 numbers up to 72372 share no factor with it.
- 4
The digits of 72372 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72372 = 2^{2} \times 3 \times 37 \times 163 \]72372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 174496 |
| Euler totient φ(n) | 23328 |
| Square | 5237706384 |
| Cube | 379063286422848 |
| Square root | 269.020445 (= 2√18093) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2372 × |
72372 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and seventy-two |
| Binary (base 2) | 10001101010110100 |
| Octal (base 8) | 215264 |
| Hexadecimal (base 16) | 11AB4 |
| Base 3 | 10200021110 |
| As time | 72372 seconds = 20 h 6 min 12 s |
Is 72372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72372 ÷ 2 = 36186) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72372 ÷ 3 = 24124) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72372 ÷ 4 = 18093) | 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 (72372 ÷ 6 = 12062) | 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 | 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 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72372 ÷ 12 = 6031) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72372 a prime number?
No. 72372 = × 3 × 37 × 163, so it is divisible by 2.
What are the factors of 72372?
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 163, 222, 326, 444, 489, 652, 978, 1956, 6031, 12062, 18093, 24124, 36186, 72372.
What is 72372 in binary?
10001101010110100 (hexadecimal 11AB4, octal 215264).
What is the square root of 72372?
About 269.0204, exactly 2√18093.
Is 72372 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 72372?
It is a composite number with 24 divisors.