72727204128 has 96 divisors (see below), whose sum is σ = 195961332672. Its totient is φ = 23608704000.

The previous prime is 72727204111. The next prime is 72727204139. The reversal of 72727204128 is 82140272727.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72727204128.

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, 529975 + ... + 652937.

It is an arithmetic number, because the mean of its divisors is an integer number (2041263882).

Almost surely, 2^72727204128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72727204128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97980666336).

72727204128 is an abundant number, since it is smaller than the sum of its proper divisors (123234128544).

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

72727204128 is a wasteful number, since it uses less digits than its factorization.

72727204128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123138 (or 123130 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 42.

The spelling of 72727204128 in words is "seventy-two billion, seven hundred twenty-seven million, two hundred four thousand, one hundred twenty-eight".