72896182416 has 80 divisors (see below), whose sum is σ = 210137353920. Its totient is φ = 24194407680.

The previous prime is 72896182399. The next prime is 72896182421. The reversal of 72896182416 is 61428169827.

It is a happy number.

72896182416 is a `hidden beast` number, since 7 + 2 + 8 + 9 + 618 + 2 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 261450 + ... + 462761.

It is an arithmetic number, because the mean of its divisors is an integer number (2626716924).

Almost surely, 2^72896182416 is an apocalyptic number.

It is an amenable number.

72896182416 is an abundant number, since it is smaller than the sum of its proper divisors (137241171504).

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

72896182416 is a wasteful number, since it uses less digits than its factorization.

72896182416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724461 (or 724449 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 72896182416 in words is "seventy-two billion, eight hundred ninety-six million, one hundred eighty-two thousand, four hundred sixteen".