32981872 has 80 divisors (see below), whose sum is σ = 83923200. Its totient is φ = 12165120.

The previous prime is 32981869. The next prime is 32981881. The reversal of 32981872 is 27818923.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22704 + ... + 24112.

It is an arithmetic number, because the mean of its divisors is an integer number (1049040).

Almost surely, 2^32981872 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 32981872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41961600).

32981872 is an abundant number, since it is smaller than the sum of its proper divisors (50941328).

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

32981872 is a wasteful number, since it uses less digits than its factorization.

32981872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1448 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 32981872 is about 5742.9845899149. The cubic root of 32981872 is about 320.6946887240.

The spelling of 32981872 in words is "thirty-two million, nine hundred eighty-one thousand, eight hundred seventy-two".