92772 has 24 divisors (see below), whose sum is σ = 240800. Its totient is φ = 30888.

The previous prime is 92767. The next prime is 92779. The reversal of 92772 is 27729.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (92779) by changing a digit.

92772 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, 322 + ... + 537.

2⁹²⁷⁷² is an apocalyptic number.

It is an amenable number.

92772 is an abundant number, since it is smaller than the sum of its proper divisors (148028).

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 (120400).

92772 is a wasteful number, since it uses less digits than its factorization.

92772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 864 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 92772 is about 304.5849635159. The cubic root of 92772 is about 45.2694939561.

It can be divided in two parts, 927 and 72, that added together give a palindrome (999).

The spelling of 92772 in words is "ninety-two thousand, seven hundred seventy-two".