75195968 has 28 divisors (see below), whose sum is σ = 152861772. Its totient is φ = 36679680.

The previous prime is 75195961. The next prime is 75195997. The reversal of 75195968 is 86959157.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8479744 + 66716224 = 2912^2 + 8168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75195961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11705 + ... + 16952.

It is an arithmetic number, because the mean of its divisors is an integer number (5459349).

Almost surely, 2^75195968 is an apocalyptic number.

It is an amenable number.

75195968 is an abundant number, since it is smaller than the sum of its proper divisors (77665804).

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

75195968 is a wasteful number, since it uses less digits than its factorization.

75195968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28710 (or 28700 counting only the distinct ones).

The product of its digits is 680400, while the sum is 50.

The square root of 75195968 is about 8671.5608744908. The cubic root of 75195968 is about 422.0833150117.

The spelling of 75195968 in words is "seventy-five million, one hundred ninety-five thousand, nine hundred sixty-eight".