72569643750 has 144 divisors (see below), whose sum is σ = 202874765184. Its totient is φ = 18727200000.

The previous prime is 72569643749. The next prime is 72569643779. The reversal of 72569643750 is 5734696527.

72569643750 is a `hidden beast` number, since 7 + 2 + 569 + 6 + 4 + 3 + 75 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1722942 + ... + 1764558.

It is an arithmetic number, because the mean of its divisors is an integer number (1408852536).

Almost surely, 2^72569643750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72569643750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101437382592).

72569643750 is an abundant number, since it is smaller than the sum of its proper divisors (130305121434).

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

72569643750 is a wasteful number, since it uses less digits than its factorization.

72569643750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41681 (or 41658 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 72569643750 in words is "seventy-two billion, five hundred sixty-nine million, six hundred forty-three thousand, seven hundred fifty".