The number 72735
72735 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 373. Divisors (16): 1, 3, 5, 13, 15, 39, 65, 195, 373, 1119, 1865, 4849, 5595, 14547, 24245, 72735.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72735 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72735 is composite. Its prime factorisation is
- 3
The divisors add up to 125664; without 72735 itself that is 52929, so 72735 is deficient (52929 is less than 72735). Euler's totient φ(72735) = 35712 numbers up to 72735 share no factor with it.
- 4
The digits of 72735 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72735 = 3 \times 5 \times 13 \times 373 \]
72735 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 125664 |
| Euler totient φ(n) | 35712 |
| Square | 5290380225 |
| Cube | 384795805665375 |
| Square root | 269.694271 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.2735 × |
72735 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and thirty-five |
| Binary (base 2) | 10001110000011111 |
| Octal (base 8) | 216037 |
| Hexadecimal (base 16) | 11C1F |
| Base 3 | 10200202220 |
| As time | 72735 seconds = 20 h 12 min 15 s |
Is 72735 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72735 ÷ 3 = 24245) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72735 ÷ 5 = 14547) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72735 a prime number?
No. 72735 = 3 × 5 × 13 × 373, so it is divisible by 3.
What are the factors of 72735?
1, 3, 5, 13, 15, 39, 65, 195, 373, 1119, 1865, 4849, 5595, 14547, 24245, 72735.
What is 72735 in binary?
10001110000011111 (hexadecimal 11C1F, octal 216037).
What is the square root of 72735?
About 269.6943.
Is 72735 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 72735?
It is a composite number with 16 divisors.