72505577819136 has 2112 divisors, whose sum is σ = 261610457923584. Its totient is φ = 17323484774400.

The previous prime is 72505577819113. The next prime is 72505577819141. The reversal of 72505577819136 is 63191877550527.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 570910061505 + ... + 570910061631.

It is an arithmetic number, because the mean of its divisors is an integer number (123868588032).

Almost surely, 2^{72505577819136} 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 72505577819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130805228961792).

72505577819136 is an abundant number, since it is smaller than the sum of its proper divisors (189104880104448).

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

72505577819136 is a wasteful number, since it uses less digits than its factorization.

72505577819136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 66.

The spelling of 72505577819136 in words is "seventy-two trillion, five hundred five billion, five hundred seventy-seven million, eight hundred nineteen thousand, one hundred thirty-six".