95875200 has 144 divisors (see below), whose sum is σ = 342207450. Its totient is φ = 25559040.

The previous prime is 95875187. The next prime is 95875211. The reversal of 95875200 is 257859.

It can be written as a sum of positive squares in 3 ways, for example, as 66194496 + 29680704 = 8136^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27136 + ... + 30464.

Almost surely, 2^95875200 is an apocalyptic number.

95875200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171103725).

95875200 is an abundant number, since it is smaller than the sum of its proper divisors (246332250).

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

95875200 is a wasteful number, since it uses less digits than its factorization.

95875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 95875200 is about 9791.5882266362. The cubic root of 95875200 is about 457.6871938430.

The spelling of 95875200 in words is "ninety-five million, eight hundred seventy-five thousand, two hundred".