The number 72730
72730 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 1039. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 1039, 2078, 5195, 7273, 10390, 14546, 36365, 72730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72730 is composite. Its prime factorisation is
- 3
The divisors add up to 149760; without 72730 itself that is 77030, so 72730 is abundant (77030 is more than 72730). Euler's totient φ(72730) = 24912 numbers up to 72730 share no factor with it.
- 4
The digits of 72730 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72730 = 2 \times 5 \times 7 \times 1039 \]
72730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 149760 |
| Euler totient φ(n) | 24912 |
| Square | 5289652900 |
| Cube | 384716455417000 |
| Square root | 269.685001 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.273 × |
72730 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and thirty |
| Binary (base 2) | 10001110000011010 |
| Octal (base 8) | 216032 |
| Hexadecimal (base 16) | 11C1A |
| Base 3 | 10200202201 |
| As time | 72730 seconds = 20 h 12 min 10 s |
Is 72730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72730 ÷ 2 = 36365) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72730 ÷ 5 = 14546) | 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 | Yes (72730 ÷ 7 = 10390) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72730 ÷ 10 = 7273) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72730 a prime number?
No. 72730 = 2 × 5 × 7 × 1039, so it is divisible by 2.
What are the factors of 72730?
1, 2, 5, 7, 10, 14, 35, 70, 1039, 2078, 5195, 7273, 10390, 14546, 36365, 72730.
What is 72730 in binary?
10001110000011010 (hexadecimal 11C1A, octal 216032).
What is the square root of 72730?
About 269.6850.
Is 72730 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72730?
It is a composite number with 16 divisors.