The number 72472
72472 is a composite number with 8 divisors. Its prime factorisation is × 9059. Divisors (8): 1, 2, 4, 8, 9059, 18118, 36236, 72472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72472 is composite. Its prime factorisation is
- 3
The divisors add up to 135900; without 72472 itself that is 63428, so 72472 is deficient (63428 is less than 72472). Euler's totient φ(72472) = 36232 numbers up to 72472 share no factor with it.
- 4
The digits of 72472 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72472 = 2^{3} \times 9059 \]72472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 135900 |
| Euler totient φ(n) | 36232 |
| Square | 5252190784 |
| Cube | 380636770498048 |
| Square root | 269.206241 (= 2√18118) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2472 × |
72472 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and seventy-two |
| Binary (base 2) | 10001101100011000 |
| Octal (base 8) | 215430 |
| Hexadecimal (base 16) | 11B18 |
| Base 3 | 10200102011 |
| As time | 72472 seconds = 20 h 7 min 52 s |
Is 72472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72472 ÷ 2 = 36236) | 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 (72472 ÷ 4 = 18118) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (72472 ÷ 8 = 9059) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | 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 72472 a prime number?
No. 72472 = × 9059, so it is divisible by 2.
What are the factors of 72472?
1, 2, 4, 8, 9059, 18118, 36236, 72472.
What is 72472 in binary?
10001101100011000 (hexadecimal 11B18, octal 215430).
What is the square root of 72472?
About 269.2062, exactly 2√18118.
Is 72472 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 72472?
It is a composite number with 8 divisors.