72038121600 has 96 divisors (see below), whose sum is σ = 237275594640. Its totient is φ = 19210163200.

The previous prime is 72038121599. The next prime is 72038121607. The reversal of 72038121600 is 612183027.

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 (30).

It is not an unprimeable number, because it can be changed into a prime (72038121607) 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, 3742386 + ... + 3761585.

Almost surely, 2^72038121600 is an apocalyptic number.

It is an amenable number.

72038121600 is an abundant number, since it is smaller than the sum of its proper divisors (165237473040).

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

72038121600 is a wasteful number, since it uses less digits than its factorization.

72038121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7503998 (or 7503981 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 72038121600 in words is "seventy-two billion, thirty-eight million, one hundred twenty-one thousand, six hundred".