182772 has 18 divisors (see below), whose sum is σ = 462098. Its totient is φ = 60912.

The previous prime is 182747. The next prime is 182773. The reversal of 182772 is 277281.

It can be written as a sum of positive squares in only one way, i.e., 181476 + 1296 = 426^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182773) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2503 + ... + 2574.

2¹⁸²⁷⁷² is an apocalyptic number.

182772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

182772 is an abundant number, since it is smaller than the sum of its proper divisors (279326).

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

182772 is a wasteful number, since it uses less digits than its factorization.

182772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087 (or 5082 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 182772 is about 427.5184206558. The cubic root of 182772 is about 56.7505255891.

The spelling of 182772 in words is "one hundred eighty-two thousand, seven hundred seventy-two".