72717401169504 has 576 divisors, whose sum is σ = 265872842424000. Its totient is φ = 19165609967616.

The previous prime is 72717401169503. The next prime is 72717401169587. The reversal of 72717401169504 is 40596110471727.

72717401169504 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 74 + 0 + 1 + 1 + 69 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72717401169503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 852477384 + ... + 852562680.

It is an arithmetic number, because the mean of its divisors is an integer number (461584795875).

Almost surely, 2^{72717401169504} 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 72717401169504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132936421212000).

72717401169504 is an abundant number, since it is smaller than the sum of its proper divisors (193155441254496).

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

72717401169504 is a wasteful number, since it uses less digits than its factorization.

72717401169504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86892 (or 86871 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 72717401169504 in words is "seventy-two trillion, seven hundred seventeen billion, four hundred one million, one hundred sixty-nine thousand, five hundred four".