95947872 has 96 divisors (see below), whose sum is σ = 271797120. Its totient is φ = 29537280.

The previous prime is 95947843. The next prime is 95947877. The reversal of 95947872 is 27874959.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95947877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74143 + ... + 75425.

It is an arithmetic number, because the mean of its divisors is an integer number (2831220).

Almost surely, 2^95947872 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 95947872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135898560).

95947872 is an abundant number, since it is smaller than the sum of its proper divisors (175849248).

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

95947872 is a wasteful number, since it uses less digits than its factorization.

95947872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1348 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 95947872 is about 9795.2984640592. The cubic root of 95947872 is about 457.8028047049.

The spelling of 95947872 in words is "ninety-five million, nine hundred forty-seven thousand, eight hundred seventy-two".