95772 has 24 divisors (see below), whose sum is σ = 233856. Its totient is φ = 30448.

The previous prime is 95747. The next prime is 95773. The reversal of 95772 is 27759.

It is a happy number.

95772 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95773) by changing a digit.

95772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (9744).

2⁹⁵⁷⁷² is an apocalyptic number.

95772 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 95772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116928).

95772 is an abundant number, since it is smaller than the sum of its proper divisors (138084).

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

95772 is a wasteful number, since it uses less digits than its factorization.

95772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 95772 is about 309.4705155584. The cubic root of 95772 is about 45.7522916825.

The spelling of 95772 in words is "ninety-five thousand, seven hundred seventy-two".