32172864 has 112 divisors (see below), whose sum is σ = 89952576. Its totient is φ = 10137600.

The previous prime is 32172851. The next prime is 32172913. The reversal of 32172864 is 46827123.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480159 + ... + 480225.

It is an arithmetic number, because the mean of its divisors is an integer number (803148).

Almost surely, 2^32172864 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 32172864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44976288).

32172864 is an abundant number, since it is smaller than the sum of its proper divisors (57779712).

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

32172864 is a wasteful number, since it uses less digits than its factorization.

32172864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 32172864 is about 5672.1128338565. The cubic root of 32172864 is about 318.0508601061.

Adding to 32172864 its reverse (46827123), we get a palindrome (78999987).

The spelling of 32172864 in words is "thirty-two million, one hundred seventy-two thousand, eight hundred sixty-four".