75727996032 has 256 divisors, whose sum is σ = 224721504000. Its totient is φ = 22434693120.

The previous prime is 75727996027. The next prime is 75727996033. The reversal of 75727996032 is 23069972757.

It is not an unprimeable number, because it can be changed into a prime (75727996033) 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, 91348194 + ... + 91349022.

It is an arithmetic number, because the mean of its divisors is an integer number (877818375).

Almost surely, 2^75727996032 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 75727996032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112360752000).

75727996032 is an abundant number, since it is smaller than the sum of its proper divisors (148993507968).

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

75727996032 is a wasteful number, since it uses less digits than its factorization.

75727996032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 57.

The spelling of 75727996032 in words is "seventy-five billion, seven hundred twenty-seven million, nine hundred ninety-six thousand, thirty-two".