The number 72088
72088 is a composite number with 8 divisors. Its prime factorisation is × 9011. Divisors (8): 1, 2, 4, 8, 9011, 18022, 36044, 72088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72088 is composite. Its prime factorisation is
- 3
The divisors add up to 135180; without 72088 itself that is 63092, so 72088 is deficient (63092 is less than 72088). Euler's totient φ(72088) = 36040 numbers up to 72088 share no factor with it.
- 4
The digits of 72088 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72088 = 2^{3} \times 9011 \]72088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 135180 |
| Euler totient φ(n) | 36040 |
| Square | 5196679744 |
| Cube | 374618249385472 |
| Square root | 268.492086 (= 2√18022) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2088 × |
72088 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and eighty-eight |
| Binary (base 2) | 10001100110011000 |
| Octal (base 8) | 214630 |
| Hexadecimal (base 16) | 11998 |
| Base 3 | 10122212221 |
| As time | 72088 seconds = 20 h 1 min 28 s |
Is 72088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72088 ÷ 2 = 36044) | 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 (72088 ÷ 4 = 18022) | 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 2) | 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 (72088 ÷ 8 = 9011) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 72088 a prime number?
No. 72088 = × 9011, so it is divisible by 2.
What are the factors of 72088?
1, 2, 4, 8, 9011, 18022, 36044, 72088.
What is 72088 in binary?
10001100110011000 (hexadecimal 11998, octal 214630).
What is the square root of 72088?
About 268.4921, exactly 2√18022.
Is 72088 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 72088?
It is a composite number with 8 divisors.