72692983008 has 96 divisors (see below), whose sum is σ = 224493081120. Its totient is φ = 22805637120.

The previous prime is 72692983007. The next prime is 72692983031. The reversal of 72692983008 is 80038929627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72692983007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2459883 + ... + 2489258.

It is an arithmetic number, because the mean of its divisors is an integer number (2338469595).

Almost surely, 2^72692983008 is an apocalyptic number.

It is an amenable number.

72692983008 is an abundant number, since it is smaller than the sum of its proper divisors (151800098112).

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

72692983008 is a wasteful number, since it uses less digits than its factorization.

72692983008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949177 (or 4949163 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 72692983008 in words is "seventy-two billion, six hundred ninety-two million, nine hundred eighty-three thousand, eight".