The number 72396
72396 is a composite number with 18 divisors. Its prime factorisation is × × 2011. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 2011, 4022, 6033, 8044, 12066, 18099, 24132 … 72396.
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How to work it out
- 1
72396 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72396 is composite. Its prime factorisation is
- 3
The divisors add up to 183092; without 72396 itself that is 110696, so 72396 is abundant (110696 is more than 72396). Euler's totient φ(72396) = 24120 numbers up to 72396 share no factor with it.
- 4
The digits of 72396 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72396 = 2^{2} \times 3^{2} \times 2011 \]72396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 183092 |
| Euler totient φ(n) | 24120 |
| Square | 5241180816 |
| Cube | 379440526355136 |
| Square root | 269.065048 (= 6√2011) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.2396 × |
72396 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and ninety-six |
| Binary (base 2) | 10001101011001100 |
| Octal (base 8) | 215314 |
| Hexadecimal (base 16) | 11ACC |
| Base 3 | 10200022100 |
| As time | 72396 seconds = 20 h 6 min 36 s |
Is 72396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72396 ÷ 2 = 36198) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72396 ÷ 3 = 24132) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72396 ÷ 4 = 18099) | 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 | Yes (72396 ÷ 6 = 12066) | 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 | Yes (72396 ÷ 9 = 8044) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72396 ÷ 12 = 6033) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72396 a prime number?
No. 72396 = × × 2011, so it is divisible by 2.
What are the factors of 72396?
1, 2, 3, 4, 6, 9, 12, 18, 36, 2011, 4022, 6033, 8044, 12066, 18099, 24132, 36198, 72396.
What is 72396 in binary?
10001101011001100 (hexadecimal 11ACC, octal 215314).
What is the square root of 72396?
About 269.0650, exactly 6√2011.
Is 72396 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72396?
It is a composite number with 18 divisors.