72415392 has 48 divisors (see below), whose sum is σ = 217248192. Its totient is φ = 20689920.

The previous prime is 72415373. The next prime is 72415423. The reversal of 72415392 is 29351427.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53209 + ... + 54552.

It is an arithmetic number, because the mean of its divisors is an integer number (4526004).

Almost surely, 2^72415392 is an apocalyptic number.

It is an amenable number.

72415392 is an abundant number, since it is smaller than the sum of its proper divisors (144832800).

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

72415392 is a wasteful number, since it uses less digits than its factorization.

72415392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107781 (or 107773 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 72415392 is about 8509.7233797580. The cubic root of 72415392 is about 416.8152774071.

The spelling of 72415392 in words is "seventy-two million, four hundred fifteen thousand, three hundred ninety-two".