The number 72060
72060 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1201. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1201, 2402, 3603, 4804 … 72060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72060: a Harshad number: divisible by its digit sum 15.
- 2
72060 is composite. Its prime factorisation is
- 3
The divisors add up to 201936; without 72060 itself that is 129876, so 72060 is abundant (129876 is more than 72060). Euler's totient φ(72060) = 19200 numbers up to 72060 share no factor with it.
- 4
The digits of 72060 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72060 = 2^{2} \times 3 \times 5 \times 1201 \]72060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 201936 |
| Euler totient φ(n) | 19200 |
| Square | 5192643600 |
| Cube | 374181897816000 |
| Square root | 268.439937 (= 2√18015) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.206 × |
72060 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and sixty |
| Binary (base 2) | 10001100101111100 |
| Octal (base 8) | 214574 |
| Hexadecimal (base 16) | 1197C |
| Base 3 | 10122211220 |
| As time | 72060 seconds = 20 h 1 min 0 s |
Is 72060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72060 ÷ 2 = 36030) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72060 ÷ 3 = 24020) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72060 ÷ 4 = 18015) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72060 ÷ 5 = 14412) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72060 ÷ 6 = 12010) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72060 ÷ 10 = 7206) | 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 | Yes (72060 ÷ 12 = 6005) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72060 a prime number?
No. 72060 = × 3 × 5 × 1201, so it is divisible by 2.
What are the factors of 72060?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1201, 2402, 3603, 4804, 6005, 7206, 12010, 14412, 18015, 24020, 36030, 72060.
What is 72060 in binary?
10001100101111100 (hexadecimal 1197C, octal 214574).
What is the square root of 72060?
About 268.4399, exactly 2√18015.
Is 72060 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 72060?
72060 is a Harshad number: divisible by its digit sum 15.