72577011520 has 224 divisors, whose sum is σ = 200483297280. Its totient is φ = 24804679680.

The previous prime is 72577011517. The next prime is 72577011527. The reversal of 72577011520 is 2511077527.

It is a self number, because there is not a number n which added to its sum of digits gives 72577011520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72577011527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2953846 + ... + 2978314.

It is an arithmetic number, because the mean of its divisors is an integer number (895014720).

Almost surely, 2^72577011520 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 72577011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100241648640).

72577011520 is an abundant number, since it is smaller than the sum of its proper divisors (127906285760).

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

72577011520 is a wasteful number, since it uses less digits than its factorization.

72577011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24553 (or 24543 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 37.

The spelling of 72577011520 in words is "seventy-two billion, five hundred seventy-seven million, eleven thousand, five hundred twenty".