The number 72200

Q: Is 72200 a prime number?

No. 72200 = 2^3 × 5^2 × 19^2, so it is divisible by 2.

72200 is a composite number with 36 divisors. Its prime factorisation is $2^{3}$ × $5^{2}$ × $19^{2}$ . Divisors (36): 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152 … 72200.

Number

Pick any whole number from 1 to 100,000.

72200 = 2^{3} \times 5^{2} \times 19^{2}

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How to work it out

1
72200 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
72200 is composite. Its prime factorisation is
$72200 = 2^{3} \times 5^{2} \times 19^{2}$
3
The divisors add up to 177165; without 72200 itself that is 104965, so 72200 is abundant (104965 is more than 72200). Euler's totient φ(72200) = 27360 numbers up to 72200 share no factor with it.
4
The digits of 72200 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.

LaTeX source of the formulas on this page

\[ 72200 = 2^{3} \times 5^{2} \times 19^{2} \]

72200 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	177165
Euler totient φ(n)	27360
Square	5212840000
Cube	376367048000000
Square root	268.700577 (= 190√2)
Digit sum / digital root	11 / 2
Collatz steps to 1	50
Scientific notation	7.22 × $10^{4}$

72200 in other forms

Form	Value
In words	seventy-two thousand two hundred
Binary (base 2)	10001101000001000
Octal (base 8)	215010
Hexadecimal (base 16)	11A08
Base 3	10200001002
As time	72200 seconds = 20 h 3 min 20 s

Is 72200 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (72200 ÷ 2 = 36100)	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 (72200 ÷ 4 = 18050)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (72200 ÷ 5 = 14440)	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 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	Yes (72200 ÷ 8 = 9025)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 2)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (72200 ÷ 10 = 7220)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 7)	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 72200 a prime number?

No. 72200 = $2^{3}$ × $5^{2}$ × $19^{2}$ , so it is divisible by 2.

What are the factors of 72200?

1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 361, 380, 475, 722, 760, 950, 1444, 1805, 1900, 2888, 3610, 3800, 7220, 9025, 14440, 18050, 36100, 72200.

What is 72200 in binary?

10001101000001000 (hexadecimal 11A08, octal 215010).

What is the square root of 72200?

About 268.7006, exactly 190√2.

Is 72200 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 72200?

It is a composite number with 36 divisors.