72605968 has 20 divisors (see below), whose sum is σ = 145212928. Its totient is φ = 35131680.

The previous prime is 72605947. The next prime is 72605983. The reversal of 72605968 is 86950627.

72605968 is an admirable number.

It is a super-3 number, since 3×72605968³ (a number of 25 digits) contains 333 as substring.

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, 72696 + ... + 73687.

Almost surely, 2^72605968 is an apocalyptic number.

It is an amenable number.

72605968 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72605968 is a wasteful number, since it uses less digits than its factorization.

72605968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146422 (or 146416 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 72605968 is about 8520.9135660444. The cubic root of 72605968 is about 417.1806021659.

The spelling of 72605968 in words is "seventy-two million, six hundred five thousand, nine hundred sixty-eight".