72721131264 has 720 divisors, whose sum is σ = 239330488320. Its totient is φ = 21900533760.

The previous prime is 72721131253. The next prime is 72721131269. The reversal of 72721131264 is 46213112727.

72721131264 is a `hidden beast` number, since 7 + 272 + 11 + 312 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72721131269) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 876158167 + ... + 876158249.

It is an arithmetic number, because the mean of its divisors is an integer number (332403456).

Almost surely, 2^72721131264 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 72721131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119665244160).

72721131264 is an abundant number, since it is smaller than the sum of its proper divisors (166609357056).

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

72721131264 is a wasteful number, since it uses less digits than its factorization.

72721131264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The spelling of 72721131264 in words is "seventy-two billion, seven hundred twenty-one million, one hundred thirty-one thousand, two hundred sixty-four".