72577805250 has 128 divisors (see below), whose sum is σ = 189259918848. Its totient is φ = 18490137600.

The previous prime is 72577805197. The next prime is 72577805257. The reversal of 72577805250 is 5250877527.

It is a self number, because there is not a number n which added to its sum of digits gives 72577805250.

It is not an unprimeable number, because it can be changed into a prime (72577805257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17817214 + ... + 17821286.

It is an arithmetic number, because the mean of its divisors is an integer number (1478593116).

Almost surely, 2^72577805250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72577805250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94629959424).

72577805250 is an abundant number, since it is smaller than the sum of its proper divisors (116682113598).

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

72577805250 is a wasteful number, since it uses less digits than its factorization.

72577805250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 1372000, while the sum is 48.

The spelling of 72577805250 in words is "seventy-two billion, five hundred seventy-seven million, eight hundred five thousand, two hundred fifty".