72813106 has 16 divisors (see below), whose sum is σ = 110392128. Its totient is φ = 36018000.

The previous prime is 72813031. The next prime is 72813109. The reversal of 72813106 is 60131827.

It is not an unprimeable number, because it can be changed into a prime (72813109) 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 7 ways as a sum of consecutive naturals, for example, 138961 + ... + 139483.

It is an arithmetic number, because the mean of its divisors is an integer number (6899508).

Almost surely, 2^72813106 is an apocalyptic number.

72813106 is a deficient number, since it is larger than the sum of its proper divisors (37579022).

72813106 is a wasteful number, since it uses less digits than its factorization.

72813106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 72813106 is about 8533.0595919635. The cubic root of 72813106 is about 417.5769511667.

The spelling of 72813106 in words is "seventy-two million, eight hundred thirteen thousand, one hundred six".