72314430144 has 56 divisors (see below), whose sum is σ = 208725747648. Its totient is φ = 21913463040.

The previous prime is 72314430137. The next prime is 72314430211. The reversal of 72314430144 is 44103441327.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17117782 + ... + 17122005.

Almost surely, 2^72314430144 is an apocalyptic number.

It is an amenable number.

72314430144 is an abundant number, since it is smaller than the sum of its proper divisors (136411317504).

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

72314430144 is a wasteful number, since it uses less digits than its factorization.

72314430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34239813 (or 34239803 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 72314430144 in words is "seventy-two billion, three hundred fourteen million, four hundred thirty thousand, one hundred forty-four".