32772 has 12 divisors (see below), whose sum is σ = 76496. Its totient is φ = 10920.

The previous prime is 32771. The next prime is 32779. The reversal of 32772 is 27723.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (32771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1354 + ... + 1377.

32772 is a Friedman number, since it can be written as 2*((7-3)^7+2), using all its digits and the basic arithmetic operations.

2³²⁷⁷² is an apocalyptic number.

It is an amenable number.

32772 is an abundant number, since it is smaller than the sum of its proper divisors (43724).

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 (38248).

32772 is a wasteful number, since it uses less digits than its factorization.

32772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2736 counting only the distinct ones).

The product of its digits is 588, while the sum is 21.

The square root of 32772 is about 181.0303841901. The cubic root of 32772 is about 32.0013020304.

It can be divided in two parts, 3 and 2772, that added together give a triangular number (2775 = T₇₄).

The spelling of 32772 in words is "thirty-two thousand, seven hundred seventy-two".