72864096 has 24 divisors (see below), whose sum is σ = 191268504. Its totient is φ = 24288000.

The previous prime is 72864079. The next prime is 72864133. The reversal of 72864096 is 69046827.

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

It is a congruent number.

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, 379405 + ... + 379596.

It is an arithmetic number, because the mean of its divisors is an integer number (7969521).

Almost surely, 2^72864096 is an apocalyptic number.

It is an amenable number.

72864096 is an abundant number, since it is smaller than the sum of its proper divisors (118404408).

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

72864096 is a wasteful number, since it uses less digits than its factorization.

72864096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759014 (or 759006 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 72864096 is about 8536.0468602275. The cubic root of 72864096 is about 417.6744028555.

The spelling of 72864096 in words is "seventy-two million, eight hundred sixty-four thousand, ninety-six".