95712 has 24 divisors (see below), whose sum is σ = 251496. Its totient is φ = 31872.

The previous prime is 95707. The next prime is 95713. The reversal of 95712 is 21759.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95713) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 403 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (10479).

2⁹⁵⁷¹² is an apocalyptic number.

It is an amenable number.

95712 is an abundant number, since it is smaller than the sum of its proper divisors (155784).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125748).

95712 is a wasteful number, since it uses less digits than its factorization.

95712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1002 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 95712 is about 309.3735606027. The cubic root of 95712 is about 45.7427352674.

It can be divided in two parts, 957 and 12, that added together give a palindrome (969).

The spelling of 95712 in words is "ninety-five thousand, seven hundred twelve".