32128272 has 80 divisors (see below), whose sum is σ = 100618560. Its totient is φ = 9734400.

The previous prime is 32128241. The next prime is 32128277. The reversal of 32128272 is 27282123.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (32128277) 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, 1372 + ... + 8132.

It is an arithmetic number, because the mean of its divisors is an integer number (1257732).

Almost surely, 2^32128272 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 32128272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50309280).

32128272 is an abundant number, since it is smaller than the sum of its proper divisors (68490288).

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

32128272 is a wasteful number, since it uses less digits than its factorization.

32128272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6789 (or 6777 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 32128272 is about 5668.1806604942. The cubic root of 32128272 is about 317.9038513164.

It can be divided in two parts, 32128 and 272, that added together give a square (32400 = 180²).

The spelling of 32128272 in words is "thirty-two million, one hundred twenty-eight thousand, two hundred seventy-two".