32468272 has 40 divisors (see below), whose sum is σ = 66495744. Its totient is φ = 15326784.

The previous prime is 32468263. The next prime is 32468291. The reversal of 32468272 is 27286423.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30013 + ... + 31075.

Almost surely, 2^32468272 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 32468272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33247872).

32468272 is an abundant number, since it is smaller than the sum of its proper divisors (34027472).

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

32468272 is a wasteful number, since it uses less digits than its factorization.

32468272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 32468272 is about 5698.0937163230. The cubic root of 32468272 is about 319.0213328763.

The spelling of 32468272 in words is "thirty-two million, four hundred sixty-eight thousand, two hundred seventy-two".