95257200 has 120 divisors (see below), whose sum is σ = 307643008. Its totient is φ = 25194240.

The previous prime is 95257193. The next prime is 95257207. The reversal of 95257200 is 275259.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (95257193) and next prime (95257207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95257207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195357 + ... + 195843.

Almost surely, 2^95257200 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 95257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153821504).

95257200 is an abundant number, since it is smaller than the sum of its proper divisors (212385808).

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

95257200 is a wasteful number, since it uses less digits than its factorization.

95257200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 95257200 is about 9759.9795081752. The cubic root of 95257200 is about 456.7016744316.

The spelling of 95257200 in words is "ninety-five million, two hundred fifty-seven thousand, two hundred".