The number 72927
72927 is a palindrome: it reads 72927 backwards too. Its prime factorisation is × 37 × 73. Divisors (16): 1, 3, 9, 27, 37, 73, 111, 219, 333, 657, 999, 1971, 2701, 8103, 24309, 72927.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72927: a palindrome: it reads 72927 backwards too; a Harshad number: divisible by its digit sum 27.
- 2
72927 is composite. Its prime factorisation is
- 3
The divisors add up to 112480; without 72927 itself that is 39553, so 72927 is deficient (39553 is less than 72927). Euler's totient φ(72927) = 46656 numbers up to 72927 share no factor with it.
- 4
The digits of 72927 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72927 = 3^{3} \times 37 \times 73 \]72927 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 112480 |
| Euler totient φ(n) | 46656 |
| Square | 5318347329 |
| Cube | 387851115661983 |
| Square root | 270.049995 (= 3√8103) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.2927 × |
72927 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and twenty-seven |
| Binary (base 2) | 10001110011011111 |
| Octal (base 8) | 216337 |
| Hexadecimal (base 16) | 11CDF |
| Base 3 | 10201001000 |
| As time | 72927 seconds = 20 h 15 min 27 s |
Is 72927 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 (72927 ÷ 3 = 24309) | 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 | No (remainder 2) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72927 ÷ 9 = 8103) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 72927 a prime number?
No. 72927 = × 37 × 73, so it is divisible by 3.
What are the factors of 72927?
1, 3, 9, 27, 37, 73, 111, 219, 333, 657, 999, 1971, 2701, 8103, 24309, 72927.
What is 72927 in binary?
10001110011011111 (hexadecimal 11CDF, octal 216337).
What is the square root of 72927?
About 270.0500, exactly 3√8103.
Is 72927 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72927?
72927 is a palindrome: it reads 72927 backwards too; a Harshad number: divisible by its digit sum 27.