The number 72376
72376 is a composite number with 16 divisors. Its prime factorisation is × 83 × 109. Divisors (16): 1, 2, 4, 8, 83, 109, 166, 218, 332, 436, 664, 872, 9047, 18094, 36188, 72376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72376 is composite. Its prime factorisation is
- 3
The divisors add up to 138600; without 72376 itself that is 66224, so 72376 is deficient (66224 is less than 72376). Euler's totient φ(72376) = 35424 numbers up to 72376 share no factor with it.
- 4
The digits of 72376 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72376 = 2^{3} \times 83 \times 109 \]72376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 138600 |
| Euler totient φ(n) | 35424 |
| Square | 5238285376 |
| Cube | 379126142373376 |
| Square root | 269.027880 (= 2√18094) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2376 × |
72376 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and seventy-six |
| Binary (base 2) | 10001101010111000 |
| Octal (base 8) | 215270 |
| Hexadecimal (base 16) | 11AB8 |
| Base 3 | 10200021121 |
| As time | 72376 seconds = 20 h 6 min 16 s |
Is 72376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72376 ÷ 2 = 36188) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72376 ÷ 4 = 18094) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (72376 ÷ 8 = 9047) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72376 a prime number?
No. 72376 = × 83 × 109, so it is divisible by 2.
What are the factors of 72376?
1, 2, 4, 8, 83, 109, 166, 218, 332, 436, 664, 872, 9047, 18094, 36188, 72376.
What is 72376 in binary?
10001101010111000 (hexadecimal 11AB8, octal 215270).
What is the square root of 72376?
About 269.0279, exactly 2√18094.
Is 72376 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 72376?
It is a composite number with 16 divisors.