The number 72748
72748 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1399. Divisors (12): 1, 2, 4, 13, 26, 52, 1399, 2798, 5596, 18187, 36374, 72748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72748 is composite. Its prime factorisation is
- 3
The divisors add up to 137200; without 72748 itself that is 64452, so 72748 is deficient (64452 is less than 72748). Euler's totient φ(72748) = 33552 numbers up to 72748 share no factor with it.
- 4
The digits of 72748 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72748 = 2^{2} \times 13 \times 1399 \]72748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 137200 |
| Euler totient φ(n) | 33552 |
| Square | 5292271504 |
| Cube | 385002167372992 |
| Square root | 269.718372 (= 2√18187) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2748 × |
72748 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and forty-eight |
| Binary (base 2) | 10001110000101100 |
| Octal (base 8) | 216054 |
| Hexadecimal (base 16) | 11C2C |
| Base 3 | 10200210101 |
| As time | 72748 seconds = 20 h 12 min 28 s |
Is 72748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72748 ÷ 2 = 36374) | 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 (72748 ÷ 4 = 18187) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72748 a prime number?
No. 72748 = × 13 × 1399, so it is divisible by 2.
What are the factors of 72748?
1, 2, 4, 13, 26, 52, 1399, 2798, 5596, 18187, 36374, 72748.
What is 72748 in binary?
10001110000101100 (hexadecimal 11C2C, octal 216054).
What is the square root of 72748?
About 269.7184, exactly 2√18187.
Is 72748 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 72748?
It is a composite number with 12 divisors.