75312768 has 64 divisors (see below), whose sum is σ = 206978400. Its totient is φ = 24235008.

The previous prime is 75312749. The next prime is 75312791. The reversal of 75312768 is 86721357.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7755 + ... + 14517.

Almost surely, 2^75312768 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 75312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103489200).

75312768 is an abundant number, since it is smaller than the sum of its proper divisors (131665632).

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

75312768 is a wasteful number, since it uses less digits than its factorization.

75312768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6809 (or 6797 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 75312768 is about 8678.2929196934. The cubic root of 75312768 is about 422.3017390814.

The spelling of 75312768 in words is "seventy-five million, three hundred twelve thousand, seven hundred sixty-eight".