95582112 has 96 divisors (see below), whose sum is σ = 265845888. Its totient is φ = 30007296.

The previous prime is 95582093. The next prime is 95582119. The reversal of 95582112 is 21128559.

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

It is not an unprimeable number, because it can be changed into a prime (95582119) 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, 160888 + ... + 161480.

It is an arithmetic number, because the mean of its divisors is an integer number (2769228).

Almost surely, 2^95582112 is an apocalyptic number.

95582112 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95582112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132922944).

95582112 is an abundant number, since it is smaller than the sum of its proper divisors (170263776).

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

95582112 is a wasteful number, since it uses less digits than its factorization.

95582112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its digits is 7200, while the sum is 33.

The square root of 95582112 is about 9776.6104555720. The cubic root of 95582112 is about 457.2203385038.

The spelling of 95582112 in words is "ninety-five million, five hundred eighty-two thousand, one hundred twelve".