72802638 has 20 divisors (see below), whose sum is σ = 163132200. Its totient is φ = 24267492.

The previous prime is 72802633. The next prime is 72802651. The reversal of 72802638 is 83620827.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72802633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 224538 + ... + 224861.

It is an arithmetic number, because the mean of its divisors is an integer number (8156610).

Almost surely, 2^72802638 is an apocalyptic number.

72802638 is an abundant number, since it is smaller than the sum of its proper divisors (90329562).

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

72802638 is a wasteful number, since it uses less digits than its factorization.

72802638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449413 (or 449404 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72802638 is about 8532.4461908646. The cubic root of 72802638 is about 417.5569391786.

The spelling of 72802638 in words is "seventy-two million, eight hundred two thousand, six hundred thirty-eight".