The number 72704
72704 is a composite number with 22 divisors. Its prime factorisation is × 71. Divisors (22): 1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 256, 284, 512, 568, 1024, 1136 … 72704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72704 is composite. Its prime factorisation is
- 3
The divisors add up to 147384; without 72704 itself that is 74680, so 72704 is abundant (74680 is more than 72704). Euler's totient φ(72704) = 35840 numbers up to 72704 share no factor with it.
- 4
The digits of 72704 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72704 = 2^{10} \times 71 \]72704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 22 |
| Sum of divisors | 147384 |
| Euler totient φ(n) | 35840 |
| Square | 5285871616 |
| Cube | 384304009969664 |
| Square root | 269.636793 (= 32√71) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.2704 × |
72704 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and four |
| Binary (base 2) | 10001110000000000 |
| Octal (base 8) | 216000 |
| Hexadecimal (base 16) | 11C00 |
| Base 3 | 10200201202 |
| As time | 72704 seconds = 20 h 11 min 44 s |
Is 72704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72704 ÷ 2 = 36352) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72704 ÷ 4 = 18176) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (72704 ÷ 8 = 9088) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72704 a prime number?
No. 72704 = × 71, so it is divisible by 2.
What are the factors of 72704?
1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 256, 284, 512, 568, 1024, 1136, 2272, 4544, 9088, 18176, 36352, 72704.
What is 72704 in binary?
10001110000000000 (hexadecimal 11C00, octal 216000).
What is the square root of 72704?
About 269.6368, exactly 32√71.
Is 72704 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 72704?
It is a composite number with 22 divisors.