72592814112 has 288 divisors, whose sum is σ = 249146739072. Its totient is φ = 18018533376.

The previous prime is 72592814069. The next prime is 72592814143. The reversal of 72592814112 is 21141829527.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2510328 + ... + 2539080.

It is an arithmetic number, because the mean of its divisors is an integer number (865092844).

Almost surely, 2^72592814112 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 72592814112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124573369536).

72592814112 is an abundant number, since it is smaller than the sum of its proper divisors (176553924960).

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

72592814112 is a wasteful number, since it uses less digits than its factorization.

72592814112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28820 (or 28795 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The spelling of 72592814112 in words is "seventy-two billion, five hundred ninety-two million, eight hundred fourteen thousand, one hundred twelve".