72816138 has 32 divisors (see below), whose sum is σ = 162145920. Its totient is φ = 24222240.

The previous prime is 72816131. The next prime is 72816167. The reversal of 72816138 is 83161827.

It is not an unprimeable number, because it can be changed into a prime (72816131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33006 + ... + 35142.

It is an arithmetic number, because the mean of its divisors is an integer number (5067060).

Almost surely, 2^72816138 is an apocalyptic number.

72816138 is an abundant number, since it is smaller than the sum of its proper divisors (89329782).

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

72816138 is a wasteful number, since it uses less digits than its factorization.

72816138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2773 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 72816138 is about 8533.2372520633. The cubic root of 72816138 is about 417.5827471733.

The spelling of 72816138 in words is "seventy-two million, eight hundred sixteen thousand, one hundred thirty-eight".