The number 72270
72270 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 11 × 73. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66 … 72270.
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How to work it out
- 1
What is special about 72270: a Harshad number: divisible by its digit sum 18.
- 2
72270 is composite. Its prime factorisation is
- 3
The divisors add up to 207792; without 72270 itself that is 135522, so 72270 is abundant (135522 is more than 72270). Euler's totient φ(72270) = 17280 numbers up to 72270 share no factor with it.
- 4
The digits of 72270 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72270 = 2 \times 3^{2} \times 5 \times 11 \times 73 \]72270 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 207792 |
| Euler totient φ(n) | 17280 |
| Square | 5222952900 |
| Cube | 377462806083000 |
| Square root | 268.830802 (= 3√8030) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.227 × |
72270 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and seventy |
| Binary (base 2) | 10001101001001110 |
| Octal (base 8) | 215116 |
| Hexadecimal (base 16) | 11A4E |
| Base 3 | 10200010200 |
| As time | 72270 seconds = 20 h 4 min 30 s |
Is 72270 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72270 ÷ 2 = 36135) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72270 ÷ 3 = 24090) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72270 ÷ 5 = 14454) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72270 ÷ 6 = 12045) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72270 ÷ 9 = 8030) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72270 ÷ 10 = 7227) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72270 ÷ 11 = 6570) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72270 a prime number?
No. 72270 = 2 × × 5 × 11 × 73, so it is divisible by 2.
What are the factors of 72270?
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 73, 90, 99, 110, 146, 165, 198, 219, 330, 365, 438, 495, 657, 730, 803, 990, 1095, 1314, 1606, 2190, 2409, 3285, 4015, 4818, 6570, 7227, 8030, 12045, 14454, 24090, 36135, 72270.
What is 72270 in binary?
10001101001001110 (hexadecimal 11A4E, octal 215116).
What is the square root of 72270?
About 268.8308, exactly 3√8030.
Is 72270 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 72270?
72270 is a Harshad number: divisible by its digit sum 18.