72476900 has 18 divisors (see below), whose sum is σ = 157275090. Its totient is φ = 28990720.

The previous prime is 72476881. The next prime is 72476903. The reversal of 72476900 is 967427.

It can be written as a sum of positive squares in 3 ways, for example, as 1378276 + 71098624 = 1174^2 + 8432^2 .

It is a super-2 number, since 2×72476900² = 10505802067220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72476903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 362285 + ... + 362484.

It is an arithmetic number, because the mean of its divisors is an integer number (8737505).

Almost surely, 2^72476900 is an apocalyptic number.

It is an amenable number.

72476900 is an abundant number, since it is smaller than the sum of its proper divisors (84798190).

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

72476900 is a wasteful number, since it uses less digits than its factorization.

72476900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724783 (or 724776 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 72476900 is about 8513.3365961884. The cubic root of 72476900 is about 416.9332551748.

The spelling of 72476900 in words is "seventy-two million, four hundred seventy-six thousand, nine hundred".