The number 72492
72492 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 863. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 863, 1726, 2589, 3452 … 72492.
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How to work it out
- 1
72492 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72492 is composite. Its prime factorisation is
- 3
The divisors add up to 193536; without 72492 itself that is 121044, so 72492 is abundant (121044 is more than 72492). Euler's totient φ(72492) = 20688 numbers up to 72492 share no factor with it.
- 4
The digits of 72492 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72492 = 2^{2} \times 3 \times 7 \times 863 \]72492 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 193536 |
| Euler totient φ(n) | 20688 |
| Square | 5255090064 |
| Cube | 380951988919488 |
| Square root | 269.243384 (= 2√18123) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2492 × |
72492 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and ninety-two |
| Binary (base 2) | 10001101100101100 |
| Octal (base 8) | 215454 |
| Hexadecimal (base 16) | 11B2C |
| Base 3 | 10200102220 |
| As time | 72492 seconds = 20 h 8 min 12 s |
Is 72492 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72492 ÷ 2 = 36246) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72492 ÷ 3 = 24164) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72492 ÷ 4 = 18123) | 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 (72492 ÷ 6 = 12082) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (72492 ÷ 7 = 10356) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72492 ÷ 12 = 6041) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72492 a prime number?
No. 72492 = × 3 × 7 × 863, so it is divisible by 2.
What are the factors of 72492?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 863, 1726, 2589, 3452, 5178, 6041, 10356, 12082, 18123, 24164, 36246, 72492.
What is 72492 in binary?
10001101100101100 (hexadecimal 11B2C, octal 215454).
What is the square root of 72492?
About 269.2434, exactly 2√18123.
Is 72492 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 72492?
It is a composite number with 24 divisors.