72785892 has 96 divisors (see below), whose sum is σ = 187858944. Its totient is φ = 21859200.

The previous prime is 72785887. The next prime is 72785917. The reversal of 72785892 is 29858727.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402042 + ... + 402222.

It is an arithmetic number, because the mean of its divisors is an integer number (1956864).

Almost surely, 2^72785892 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 72785892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93929472).

72785892 is an abundant number, since it is smaller than the sum of its proper divisors (115073052).

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

72785892 is a wasteful number, since it uses less digits than its factorization.

72785892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 72785892 is about 8531.4648214712. The cubic root of 72785892 is about 417.5249213613.

The spelling of 72785892 in words is "seventy-two million, seven hundred eighty-five thousand, eight hundred ninety-two".