The number 72080
72080 is a composite number with 40 divisors. Its prime factorisation is × 5 × 17 × 53. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 53, 68, 80, 85, 106 … 72080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72080: a Harshad number: divisible by its digit sum 17.
- 2
72080 is composite. Its prime factorisation is
- 3
The divisors add up to 180792; without 72080 itself that is 108712, so 72080 is abundant (108712 is more than 72080). Euler's totient φ(72080) = 26624 numbers up to 72080 share no factor with it.
- 4
The digits of 72080 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72080 = 2^{4} \times 5 \times 17 \times 53 \]72080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 180792 |
| Euler totient φ(n) | 26624 |
| Square | 5195526400 |
| Cube | 374493542912000 |
| Square root | 268.477187 (= 4√4505) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.208 × |
72080 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and eighty |
| Binary (base 2) | 10001100110010000 |
| Octal (base 8) | 214620 |
| Hexadecimal (base 16) | 11990 |
| Base 3 | 10122212122 |
| As time | 72080 seconds = 20 h 1 min 20 s |
Is 72080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72080 ÷ 2 = 36040) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72080 ÷ 4 = 18020) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72080 ÷ 5 = 14416) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (72080 ÷ 8 = 9010) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72080 ÷ 10 = 7208) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72080 a prime number?
No. 72080 = × 5 × 17 × 53, so it is divisible by 2.
What are the factors of 72080?
1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 53, 68, 80, 85, 106, 136, 170, 212, 265, 272, 340, 424, 530, 680, 848, 901, 1060, 1360, 1802, 2120, 3604, 4240, 4505, 7208, 9010, 14416, 18020, 36040, 72080.
What is 72080 in binary?
10001100110010000 (hexadecimal 11990, octal 214620).
What is the square root of 72080?
About 268.4772, exactly 4√4505.
Is 72080 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 72080?
72080 is a Harshad number: divisible by its digit sum 17.