164832272 has 80 divisors (see below), whose sum is σ = 373636800. Its totient is φ = 69611520.

The previous prime is 164832257. The next prime is 164832313. The reversal of 164832272 is 272238461.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265979 + ... + 266597.

It is an arithmetic number, because the mean of its divisors is an integer number (4670460).

Almost surely, 2^164832272 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 164832272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186818400).

164832272 is an abundant number, since it is smaller than the sum of its proper divisors (208804528).

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

164832272 is a wasteful number, since it uses less digits than its factorization.

164832272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 164832272 is about 12838.7021150894. The cubic root of 164832272 is about 548.2947426106.

The spelling of 164832272 in words is "one hundred sixty-four million, eight hundred thirty-two thousand, two hundred seventy-two".