75088968 has 32 divisors (see below), whose sum is σ = 190298400. Its totient is φ = 24686208.

The previous prime is 75088967. The next prime is 75088973. The reversal of 75088968 is 86988057.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 75088968.

It is not an unprimeable number, because it can be changed into a prime (75088963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19678 + ... + 23181.

It is an arithmetic number, because the mean of its divisors is an integer number (5946825).

Almost surely, 2^75088968 is an apocalyptic number.

It is an amenable number.

75088968 is an abundant number, since it is smaller than the sum of its proper divisors (115209432).

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

75088968 is a wasteful number, since it uses less digits than its factorization.

75088968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42941 (or 42937 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 75088968 is about 8665.3890853210. The cubic root of 75088968 is about 421.8830190190.

The spelling of 75088968 in words is "seventy-five million, eighty-eight thousand, nine hundred sixty-eight".