The number 72660

Q: Is 72660 a prime number?

No. 72660 = 2^2 × 3 × 5 × 7 × 173, so it is divisible by 2.

72660 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 7 × 173. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 72660.

Number

Pick any whole number from 1 to 100,000.

72660 = 2^{2} \times 3 \times 5 \times 7 \times 173

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How to work it out

1
What is special about 72660: a Harshad number: divisible by its digit sum 21.
2
72660 is composite. Its prime factorisation is
$72660 = 2^{2} \times 3 \times 5 \times 7 \times 173$
3
The divisors add up to 233856; without 72660 itself that is 161196, so 72660 is abundant (161196 is more than 72660). Euler's totient φ(72660) = 16512 numbers up to 72660 share no factor with it.
4
The digits of 72660 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 68 steps to reach 1.

LaTeX source of the formulas on this page

\[ 72660 = 2^{2} \times 3 \times 5 \times 7 \times 173 \]

72660 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	233856
Euler totient φ(n)	16512
Square	5279475600
Cube	383606697096000
Square root	269.555189 (= 2√18165)
Digit sum / digital root	21 / 3
Collatz steps to 1	68
Scientific notation	7.266 × $10^{4}$

72660 in other forms

Form	Value
In words	seventy-two thousand six hundred and sixty
Binary (base 2)	10001101111010100
Octal (base 8)	215724
Hexadecimal (base 16)	11BD4
Base 3	10200200010
As time	72660 seconds = 20 h 11 min 0 s

Is 72660 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (72660 ÷ 2 = 36330)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (72660 ÷ 3 = 24220)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (72660 ÷ 4 = 18165)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (72660 ÷ 5 = 14532)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (72660 ÷ 6 = 12110)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (72660 ÷ 7 = 10380)	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 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (72660 ÷ 10 = 7266)	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	Yes (72660 ÷ 12 = 6055)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 72660 a prime number?

No. 72660 = $2^{2}$ × 3 × 5 × 7 × 173, so it is divisible by 2.

What are the factors of 72660?

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 173, 210, 346, 420, 519, 692, 865, 1038, 1211, 1730, 2076, 2422, 2595, 3460, 3633, 4844, 5190, 6055, 7266, 10380, 12110, 14532, 18165, 24220, 36330, 72660.

What is 72660 in binary?

10001101111010100 (hexadecimal 11BD4, octal 215724).

What is the square root of 72660?

About 269.5552, exactly 2√18165.

Is 72660 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 72660?

72660 is a Harshad number: divisible by its digit sum 21.