95251200 has 324 divisors, whose sum is σ = 353951304. Its totient is φ = 22528000.

The previous prime is 95251171. The next prime is 95251213. The reversal of 95251200 is 215259.

It is a super-2 number, since 2×95251200² = 18145582202880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2323180 + ... + 2323220.

Almost surely, 2^95251200 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 95251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176975652).

95251200 is an abundant number, since it is smaller than the sum of its proper divisors (258700104).

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

95251200 is a wasteful number, since it uses less digits than its factorization.

95251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 95251200 is about 9759.6721256403. The cubic root of 95251200 is about 456.6920854186.

Adding to 95251200 its reverse (215259), we get a palindrome (95466459).

The spelling of 95251200 in words is "ninety-five million, two hundred fifty-one thousand, two hundred".