The number 72027
72027 is a palindrome: it reads 72027 backwards too. Its prime factorisation is × 53 × 151. Divisors (12): 1, 3, 9, 53, 151, 159, 453, 477, 1359, 8003, 24009, 72027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72027: a palindrome: it reads 72027 backwards too.
- 2
72027 is composite. Its prime factorisation is
- 3
The divisors add up to 106704; without 72027 itself that is 34677, so 72027 is deficient (34677 is less than 72027). Euler's totient φ(72027) = 46800 numbers up to 72027 share no factor with it.
- 4
The digits of 72027 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72027 = 3^{2} \times 53 \times 151 \]72027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 106704 |
| Euler totient φ(n) | 46800 |
| Square | 5187888729 |
| Cube | 373668061483683 |
| Square root | 268.378464 (= 3√8003) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2027 × |
72027 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and twenty-seven |
| Binary (base 2) | 10001100101011011 |
| Octal (base 8) | 214533 |
| Hexadecimal (base 16) | 1195B |
| Base 3 | 10122210200 |
| As time | 72027 seconds = 20 h 0 min 27 s |
Is 72027 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 (72027 ÷ 3 = 24009) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72027 ÷ 9 = 8003) | 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 10) | 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 72027 a prime number?
No. 72027 = × 53 × 151, so it is divisible by 3.
What are the factors of 72027?
1, 3, 9, 53, 151, 159, 453, 477, 1359, 8003, 24009, 72027.
What is 72027 in binary?
10001100101011011 (hexadecimal 1195B, octal 214533).
What is the square root of 72027?
About 268.3785, exactly 3√8003.
Is 72027 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 72027?
72027 is a palindrome: it reads 72027 backwards too.