72816723 has 12 divisors (see below), whose sum is σ = 120205488. Its totient is φ = 41609520.

The previous prime is 72816713. The next prime is 72816791. The reversal of 72816723 is 32761827.

It is not a de Polignac number, because 72816723 - 2⁵ = 72816691 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72816713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577848 + ... + 577973.

It is an arithmetic number, because the mean of its divisors is an integer number (10017124).

Almost surely, 2^72816723 is an apocalyptic number.

72816723 is a deficient number, since it is larger than the sum of its proper divisors (47388765).

72816723 is a wasteful number, since it uses less digits than its factorization.

72816723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155834 (or 1155831 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72816723 is about 8533.2715297241. The cubic root of 72816723 is about 417.5838654477.

The spelling of 72816723 in words is "seventy-two million, eight hundred sixteen thousand, seven hundred twenty-three".