75116900 has 36 divisors (see below), whose sum is σ = 166090932. Its totient is φ = 29477760.

The previous prime is 75116887. The next prime is 75116911. The reversal of 75116900 is 961157.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2390116 + 72726784 = 1546^2 + 8528^2 .

It is a super-2 number, since 2×75116900² = 11285097331220000, which contains 22 as substring.

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, 1787 + ... + 12386.

It is an arithmetic number, because the mean of its divisors is an integer number (4613637).

Almost surely, 2^75116900 is an apocalyptic number.

It is an amenable number.

75116900 is an abundant number, since it is smaller than the sum of its proper divisors (90974032).

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

75116900 is a wasteful number, since it uses less digits than its factorization.

75116900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14240 (or 14233 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 75116900 is about 8667.0006345910. Note that the first 3 decimals coincide. The cubic root of 75116900 is about 421.9353239756.

The spelling of 75116900 in words is "seventy-five million, one hundred sixteen thousand, nine hundred".