32164272 has 120 divisors (see below), whose sum is σ = 108984096. Its totient is φ = 8644608.

The previous prime is 32164261. The next prime is 32164273. The reversal of 32164272 is 27246123.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32164273) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16198 + ... + 18074.

Almost surely, 2^32164272 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 32164272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54492048).

32164272 is an abundant number, since it is smaller than the sum of its proper divisors (76819824).

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

32164272 is a wasteful number, since it uses less digits than its factorization.

32164272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1906 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 32164272 is about 5671.3553935545. The cubic root of 32164272 is about 318.0225449781.

The spelling of 32164272 in words is "thirty-two million, one hundred sixty-four thousand, two hundred seventy-two".