The number 72738
72738 is a composite number with 20 divisors. Its prime factorisation is 2 × × 449. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 449, 898, 1347, 2694, 4041, 8082 … 72738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72738: a Harshad number: divisible by its digit sum 27.
- 2
72738 is composite. Its prime factorisation is
- 3
The divisors add up to 163350; without 72738 itself that is 90612, so 72738 is abundant (90612 is more than 72738). Euler's totient φ(72738) = 24192 numbers up to 72738 share no factor with it.
- 4
The digits of 72738 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72738 = 2 \times 3^{4} \times 449 \]72738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 163350 |
| Euler totient φ(n) | 24192 |
| Square | 5290816644 |
| Cube | 384843421051272 |
| Square root | 269.699833 (= 9√898) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2738 × |
72738 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and thirty-eight |
| Binary (base 2) | 10001110000100010 |
| Octal (base 8) | 216042 |
| Hexadecimal (base 16) | 11C22 |
| Base 3 | 10200210000 |
| As time | 72738 seconds = 20 h 12 min 18 s |
Is 72738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72738 ÷ 2 = 36369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72738 ÷ 3 = 24246) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72738 ÷ 6 = 12123) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (72738 ÷ 9 = 8082) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72738 a prime number?
No. 72738 = 2 × × 449, so it is divisible by 2.
What are the factors of 72738?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 449, 898, 1347, 2694, 4041, 8082, 12123, 24246, 36369, 72738.
What is 72738 in binary?
10001110000100010 (hexadecimal 11C22, octal 216042).
What is the square root of 72738?
About 269.6998, exactly 9√898.
Is 72738 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72738?
72738 is a Harshad number: divisible by its digit sum 27.