The number 27072
27072 is a palindrome: it reads 27072 backwards too. Its prime factorisation is × × 47. Divisors (42): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 47, 48, 64 … 27072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27072: a palindrome: it reads 27072 backwards too; a Harshad number: divisible by its digit sum 18.
- 2
27072 is composite. Its prime factorisation is
- 3
The divisors add up to 79248; without 27072 itself that is 52176, so 27072 is abundant (52176 is more than 27072). Euler's totient φ(27072) = 8832 numbers up to 27072 share no factor with it.
- 4
The digits of 27072 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27072 = 2^{6} \times 3^{2} \times 47 \]27072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 79248 |
| Euler totient φ(n) | 8832 |
| Square | 732893184 |
| Cube | 19840884277248 |
| Square root | 164.535710 (= 24√47) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7072 × |
27072 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and seventy-two |
| Binary (base 2) | 110100111000000 |
| Octal (base 8) | 64700 |
| Hexadecimal (base 16) | 69C0 |
| Base 3 | 1101010200 |
| As time | 27072 seconds = 7 h 31 min 12 s |
Is 27072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27072 ÷ 2 = 13536) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27072 ÷ 3 = 9024) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27072 ÷ 4 = 6768) | 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 | Yes (27072 ÷ 6 = 4512) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (27072 ÷ 8 = 3384) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27072 ÷ 9 = 3008) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27072 ÷ 12 = 2256) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27072 a prime number?
No. 27072 = × × 47, so it is divisible by 2.
What are the factors of 27072?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 47, 48, 64, 72, 94, 96, 141, 144, 188, 192, 282, 288, 376, 423, 564, 576, 752, 846, 1128, 1504, 1692, 2256, 3008, 3384, 4512, 6768, 9024, 13536, 27072.
What is 27072 in binary?
110100111000000 (hexadecimal 69C0, octal 64700).
What is the square root of 27072?
About 164.5357, exactly 24√47.
Is 27072 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27072?
27072 is a palindrome: it reads 27072 backwards too; a Harshad number: divisible by its digit sum 18.