72952608 has 24 divisors (see below), whose sum is σ = 191500848. Its totient is φ = 24317504.

The previous prime is 72952549. The next prime is 72952631. The reversal of 72952608 is 80625927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 379866 + ... + 380057.

It is an arithmetic number, because the mean of its divisors is an integer number (7979202).

Almost surely, 2^72952608 is an apocalyptic number.

It is an amenable number.

72952608 is an abundant number, since it is smaller than the sum of its proper divisors (118548240).

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

72952608 is a wasteful number, since it uses less digits than its factorization.

72952608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759936 (or 759928 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 72952608 is about 8541.2298880196. The cubic root of 72952608 is about 417.8434583958.

The spelling of 72952608 in words is "seventy-two million, nine hundred fifty-two thousand, six hundred eight".