75205768 has 64 divisors (see below), whose sum is σ = 163036800. Its totient is φ = 32186880.

The previous prime is 75205763. The next prime is 75205789. The reversal of 75205768 is 86750257.

It is a self number, because there is not a number n which added to its sum of digits gives 75205768.

It is not an unprimeable number, because it can be changed into a prime (75205763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147498 + ... + 148006.

It is an arithmetic number, because the mean of its divisors is an integer number (2547450).

Almost surely, 2^75205768 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 75205768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81518400).

75205768 is an abundant number, since it is smaller than the sum of its proper divisors (87831032).

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

75205768 is a wasteful number, since it uses less digits than its factorization.

75205768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 75205768 is about 8672.1259215950. The cubic root of 75205768 is about 422.1016503778.

The spelling of 75205768 in words is "seventy-five million, two hundred five thousand, seven hundred sixty-eight".