75812643072 has 108 divisors (see below), whose sum is σ = 218799614124. Its totient is φ = 25246248960.

The previous prime is 75812643043. The next prime is 75812643113. The reversal of 75812643072 is 27034621857.

75812643072 is a `hidden beast` number, since 7 + 5 + 81 + 264 + 307 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17008333056 + 58804310016 = 130416^2 + 242496^2 .

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, 2429038 + ... + 2460050.

It is an arithmetic number, because the mean of its divisors is an integer number (2025922353).

Almost surely, 2^75812643072 is an apocalyptic number.

75812643072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75812643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109399807062).

75812643072 is an abundant number, since it is smaller than the sum of its proper divisors (142986971052).

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

75812643072 is a wasteful number, since it uses less digits than its factorization.

75812643072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32096 (or 32079 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 75812643072 in words is "seventy-five billion, eight hundred twelve million, six hundred forty-three thousand, seventy-two".