The number 72039
72039 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 37 × 59. Divisors (16): 1, 3, 11, 33, 37, 59, 111, 177, 407, 649, 1221, 1947, 2183, 6549, 24013, 72039.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72039 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72039 is composite. Its prime factorisation is
- 3
The divisors add up to 109440; without 72039 itself that is 37401, so 72039 is deficient (37401 is less than 72039). Euler's totient φ(72039) = 41760 numbers up to 72039 share no factor with it.
- 4
The digits of 72039 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72039 = 3 \times 11 \times 37 \times 59 \]
72039 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 109440 |
| Euler totient φ(n) | 41760 |
| Square | 5189617521 |
| Cube | 373854856595319 |
| Square root | 268.400820 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2039 × |
72039 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and thirty-nine |
| Binary (base 2) | 10001100101100111 |
| Octal (base 8) | 214547 |
| Hexadecimal (base 16) | 11967 |
| Base 3 | 10122211010 |
| As time | 72039 seconds = 20 h 0 min 39 s |
Is 72039 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 (72039 ÷ 3 = 24013) | 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 4) | 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 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72039 ÷ 11 = 6549) | 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 72039 a prime number?
No. 72039 = 3 × 11 × 37 × 59, so it is divisible by 3.
What are the factors of 72039?
1, 3, 11, 33, 37, 59, 111, 177, 407, 649, 1221, 1947, 2183, 6549, 24013, 72039.
What is 72039 in binary?
10001100101100111 (hexadecimal 11967, octal 214547).
What is the square root of 72039?
About 268.4008.
Is 72039 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 72039?
It is a composite number with 16 divisors.