95872000 has 176 divisors, whose sum is σ = 275902848. Its totient is φ = 32563200.

The previous prime is 95871977. The next prime is 95872003. The reversal of 95872000 is 27859.

It is not an unprimeable number, because it can be changed into a prime (95872003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895947 + ... + 896053.

Almost surely, 2^95872000 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 95872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137951424).

95872000 is an abundant number, since it is smaller than the sum of its proper divisors (180030848).

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

95872000 is a wasteful number, since it uses less digits than its factorization.

95872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 95872000 is about 9791.4248197083. The cubic root of 95872000 is about 457.6821017535.

Adding to 95872000 its reverse (27859), we get a palindrome (95899859).

The spelling of 95872000 in words is "ninety-five million, eight hundred seventy-two thousand".