72409376 has 24 divisors (see below), whose sum is σ = 153522684. Its totient is φ = 33419520.

The previous prime is 72409373. The next prime is 72409387. The reversal of 72409376 is 67390427.

It can be written as a sum of positive squares in 2 ways, for example, as 68890000 + 3519376 = 8300^2 + 1876^2 .

It is not an unprimeable number, because it can be changed into a prime (72409373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86615 + ... + 87446.

Almost surely, 2^72409376 is an apocalyptic number.

It is an amenable number.

72409376 is an abundant number, since it is smaller than the sum of its proper divisors (81113308).

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

72409376 is a wasteful number, since it uses less digits than its factorization.

72409376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174084 (or 174076 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 72409376 is about 8509.3698944164. The cubic root of 72409376 is about 416.8037346025.

The spelling of 72409376 in words is "seventy-two million, four hundred nine thousand, three hundred seventy-six".