72102096 has 80 divisors (see below), whose sum is σ = 225789120. Its totient is φ = 21847680.

The previous prime is 72102077. The next prime is 72102113. The reversal of 72102096 is 69020127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2835 + ... + 12338.

It is an arithmetic number, because the mean of its divisors is an integer number (2822364).

Almost surely, 2^72102096 is an apocalyptic number.

It is an amenable number.

72102096 is an abundant number, since it is smaller than the sum of its proper divisors (153687024).

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

72102096 is a wasteful number, since it uses less digits than its factorization.

72102096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15201 (or 15189 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72102096 is about 8491.2953075488. The cubic root of 72102096 is about 416.2133089971.

The spelling of 72102096 in words is "seventy-two million, one hundred two thousand, ninety-six".