95575872 has 84 divisors (see below), whose sum is σ = 294192960. Its totient is φ = 27304704.

The previous prime is 95575829. The next prime is 95575889. The reversal of 95575872 is 27857559.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4329 + ... + 14487.

Almost surely, 2^95575872 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 95575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147096480).

95575872 is an abundant number, since it is smaller than the sum of its proper divisors (198617088).

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

95575872 is a wasteful number, since it uses less digits than its factorization.

95575872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188 (or 10171 counting only the distinct ones).

The product of its digits is 882000, while the sum is 48.

The square root of 95575872 is about 9776.2913213549. The cubic root of 95575872 is about 457.2103885353.

The spelling of 95575872 in words is "ninety-five million, five hundred seventy-five thousand, eight hundred seventy-two".