72905748 has 12 divisors (see below), whose sum is σ = 170113440. Its totient is φ = 24301912.

The previous prime is 72905743. The next prime is 72905759. The reversal of 72905748 is 84750927.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72905743) 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, 3037728 + ... + 3037751.

It is an arithmetic number, because the mean of its divisors is an integer number (14176120).

Almost surely, 2^72905748 is an apocalyptic number.

It is an amenable number.

72905748 is an abundant number, since it is smaller than the sum of its proper divisors (97207692).

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

72905748 is a wasteful number, since it uses less digits than its factorization.

72905748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075486 (or 6075484 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 72905748 is about 8538.4862827084. The cubic root of 72905748 is about 417.7539740998.

The spelling of 72905748 in words is "seventy-two million, nine hundred five thousand, seven hundred forty-eight".