32782872 has 64 divisors (see below), whose sum is σ = 85478400. Its totient is φ = 10465920.

The previous prime is 32782861. The next prime is 32782873. The reversal of 32782872 is 27828723.

It is a self number, because there is not a number n which added to its sum of digits gives 32782872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32782873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103258 + ... + 103574.

It is an arithmetic number, because the mean of its divisors is an integer number (1335600).

Almost surely, 2^32782872 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 32782872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42739200).

32782872 is an abundant number, since it is smaller than the sum of its proper divisors (52695528).

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

32782872 is a wasteful number, since it uses less digits than its factorization.

32782872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 32782872 is about 5725.6328907816. The cubic root of 32782872 is about 320.0484041362.

The spelling of 32782872 in words is "thirty-two million, seven hundred eighty-two thousand, eight hundred seventy-two".