72527704704 has 576 divisors, whose sum is σ = 271971086400. Its totient is φ = 18114969600.

The previous prime is 72527704681. The next prime is 72527704709. The reversal of 72527704704 is 40740772527.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 72527704704.

It is not an unprimeable number, because it can be changed into a prime (72527704709) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 25892104 + ... + 25894904.

It is an arithmetic number, because the mean of its divisors is an integer number (472172025).

Almost surely, 2^72527704704 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 72527704704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135985543200).

72527704704 is an abundant number, since it is smaller than the sum of its proper divisors (199443381696).

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

72527704704 is a wasteful number, since it uses less digits than its factorization.

72527704704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 768320, while the sum is 45.

The spelling of 72527704704 in words is "seventy-two billion, five hundred twenty-seven million, seven hundred four thousand, seven hundred four".