32872 has 16 divisors (see below), whose sum is σ = 70560. Its totient is φ = 14064.

The previous prime is 32869. The next prime is 32887. The reversal of 32872 is 27823.

It is a happy number.

It is a d-powerful number, because it can be written as 3⁴ + 2³ + 8 + 7 + 2¹⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2³²⁸⁷² is an apocalyptic number.

It is an amenable number.

32872 is an abundant number, since it is smaller than the sum of its proper divisors (37688).

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 (35280).

32872 is a wasteful number, since it uses less digits than its factorization.

32872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 32872 is about 181.3063705444. The cubic root of 32872 is about 32.0338184139.

It can be divided in two parts, 328 and 72, that added together give a square (400 = 20²).

The spelling of 32872 in words is "thirty-two thousand, eight hundred seventy-two".