75727904256 has 120 divisors (see below), whose sum is σ = 219146773560. Its totient is φ = 25174388736.

The previous prime is 75727904207. The next prime is 75727904269. The reversal of 75727904256 is 65240972757.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1696755 + ... + 1740813.

It is an arithmetic number, because the mean of its divisors is an integer number (1826223113).

Almost surely, 2^75727904256 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 75727904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109573386780).

75727904256 is an abundant number, since it is smaller than the sum of its proper divisors (143418869304).

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

75727904256 is a wasteful number, since it uses less digits than its factorization.

75727904256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44456 (or 44437 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 75727904256 in words is "seventy-five billion, seven hundred twenty-seven million, nine hundred four thousand, two hundred fifty-six".