72819209792 has 28 divisors (see below), whose sum is σ = 165143566080. Its totient is φ = 31208232576.

The previous prime is 72819209789. The next prime is 72819209803. The reversal of 72819209792 is 29790291827.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81270992 + ... + 81271887.

Almost surely, 2^72819209792 is an apocalyptic number.

It is an amenable number.

72819209792 is an abundant number, since it is smaller than the sum of its proper divisors (92324356288).

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

72819209792 is a wasteful number, since it uses less digits than its factorization.

72819209792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162542898 (or 162542888 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 56.

The spelling of 72819209792 in words is "seventy-two billion, eight hundred nineteen million, two hundred nine thousand, seven hundred ninety-two".