32272 has 10 divisors (see below), whose sum is σ = 62558. Its totient is φ = 16128.

The previous prime is 32261. The next prime is 32297. The reversal of 32272 is 27223.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 1296 = 176^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 2017 = 32272 / (3 + 2 + 2 + 7 + 2).

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 993 + ... + 1024.

2³²²⁷² is an apocalyptic number.

It is an amenable number.

32272 is a deficient number, since it is larger than the sum of its proper divisors (30286).

32272 is a wasteful number, since it uses less digits than its factorization.

32272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2019 counting only the distinct ones).

The product of its digits is 168, while the sum is 16.

The square root of 32272 is about 179.6440925831. The cubic root of 32272 is about 31.8377200963.

Adding to 32272 its reverse (27223), we get a palindrome (59495).

The spelling of 32272 in words is "thirty-two thousand, two hundred seventy-two".