72561172552704 has 528 divisors, whose sum is σ = 239968096153344. Its totient is φ = 20903082393600.

The previous prime is 72561172552703. The next prime is 72561172552751. The reversal of 72561172552704 is 40725527116527.

72561172552704 is a `hidden beast` number, since 7 + 2 + 5 + 6 + 1 + 17 + 2 + 552 + 70 + 4 = 666.

72561172552704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72561172552703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379963164 + ... + 380154084.

Almost surely, 2^{72561172552704} 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 72561172552704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119984048076672).

72561172552704 is an abundant number, since it is smaller than the sum of its proper divisors (167406923600640).

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

72561172552704 is a wasteful number, since it uses less digits than its factorization.

72561172552704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191144 (or 191123 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 72561172552704 in words is "seventy-two trillion, five hundred sixty-one billion, one hundred seventy-two million, five hundred fifty-two thousand, seven hundred four".