72760900 has 27 divisors (see below), whose sum is σ = 158076471. Its totient is φ = 29070240.

The previous prime is 72760889. The next prime is 72760903. The reversal of 72760900 is 906727.

It is a happy number.

The square root of 72760900 is 8530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 29095236 + 43665664 = 5394^2 + 6608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72760903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 84874 + ... + 85726.

Almost surely, 2^72760900 is an apocalyptic number.

72760900 is the 8530-th square number.

It is an amenable number.

72760900 is an abundant number, since it is smaller than the sum of its proper divisors (85315571).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72760900 is an equidigital number, since it uses as much as digits as its factorization.

72760900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The cubic root of 72760900 is about 417.4771283202.

The spelling of 72760900 in words is "seventy-two million, seven hundred sixty thousand, nine hundred".