32712 has 32 divisors (see below), whose sum is σ = 86400. Its totient is φ = 10304.

The previous prime is 32707. The next prime is 32713. The reversal of 32712 is 21723.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 32691 and 32700.

It is not an unprimeable number, because it can be changed into a prime (32713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2³²⁷¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

32712 is an abundant number, since it is smaller than the sum of its proper divisors (53688).

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

32712 is a wasteful number, since it uses less digits than its factorization.

32712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

The product of its digits is 84, while the sum is 15.

The square root of 32712 is about 180.8645902326. The cubic root of 32712 is about 31.9817604390.

The spelling of 32712 in words is "thirty-two thousand, seven hundred twelve".