72923892 has 72 divisors (see below), whose sum is σ = 183427776. Its totient is φ = 22505472.

The previous prime is 72923839. The next prime is 72923909. The reversal of 72923892 is 29832927.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377748 + ... + 377940.

It is an arithmetic number, because the mean of its divisors is an integer number (2547608).

Almost surely, 2^72923892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72923892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91713888).

72923892 is an abundant number, since it is smaller than the sum of its proper divisors (110503884).

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

72923892 is a wasteful number, since it uses less digits than its factorization.

72923892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 258 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 72923892 is about 8539.5487000192. The cubic root of 72923892 is about 417.7886266003.

The spelling of 72923892 in words is "seventy-two million, nine hundred twenty-three thousand, eight hundred ninety-two".