The number 72648
72648 is a composite number with 24 divisors. Its prime factorisation is × × 1009. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1009, 2018, 3027, 4036 … 72648.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72648 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72648 is composite. Its prime factorisation is
- 3
The divisors add up to 196950; without 72648 itself that is 124302, so 72648 is abundant (124302 is more than 72648). Euler's totient φ(72648) = 24192 numbers up to 72648 share no factor with it.
- 4
The digits of 72648 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72648 = 2^{3} \times 3^{2} \times 1009 \]72648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 196950 |
| Euler totient φ(n) | 24192 |
| Square | 5277731904 |
| Cube | 383416667361792 |
| Square root | 269.532929 (= 6√2018) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.2648 × |
72648 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand six hundred and forty-eight |
| Binary (base 2) | 10001101111001000 |
| Octal (base 8) | 215710 |
| Hexadecimal (base 16) | 11BC8 |
| Base 3 | 10200122200 |
| As time | 72648 seconds = 20 h 10 min 48 s |
Is 72648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72648 ÷ 2 = 36324) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72648 ÷ 3 = 24216) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72648 ÷ 4 = 18162) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72648 ÷ 6 = 12108) | 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 | Yes (72648 ÷ 8 = 9081) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72648 ÷ 9 = 8072) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (72648 ÷ 12 = 6054) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72648 a prime number?
No. 72648 = × × 1009, so it is divisible by 2.
What are the factors of 72648?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1009, 2018, 3027, 4036, 6054, 8072, 9081, 12108, 18162, 24216, 36324, 72648.
What is 72648 in binary?
10001101111001000 (hexadecimal 11BC8, octal 215710).
What is the square root of 72648?
About 269.5329, exactly 6√2018.
Is 72648 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72648?
It is a composite number with 24 divisors.