72504275064 has 256 divisors, whose sum is σ = 205752960000. Its totient is φ = 21136625664.

The previous prime is 72504275057. The next prime is 72504275099. The reversal of 72504275064 is 46057240527.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144143437 + ... + 144143939.

It is an arithmetic number, because the mean of its divisors is an integer number (803722500).

Almost surely, 2^72504275064 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 72504275064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102876480000).

72504275064 is an abundant number, since it is smaller than the sum of its proper divisors (133248684936).

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

72504275064 is a wasteful number, since it uses less digits than its factorization.

72504275064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 72504275064 in words is "seventy-two billion, five hundred four million, two hundred seventy-five thousand, sixty-four".