164359272 has 256 divisors, whose sum is σ = 560332800. Its totient is φ = 38880000.

The previous prime is 164359259. The next prime is 164359277. The reversal of 164359272 is 272953461.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

Its product of digits (90720) is a multiple of the sum of its prime divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 164359272.

It is not an unprimeable number, because it can be changed into a prime (164359277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088397 + ... + 1088547.

It is an arithmetic number, because the mean of its divisors is an integer number (2188800).

Almost surely, 2^164359272 is an apocalyptic number.

164359272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164359272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280166400).

164359272 is an abundant number, since it is smaller than the sum of its proper divisors (395973528).

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

164359272 is a wasteful number, since it uses less digits than its factorization.

164359272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 164359272 is about 12820.2680159192. The cubic root of 164359272 is about 547.7697809318.

The spelling of 164359272 in words is "one hundred sixty-four million, three hundred fifty-nine thousand, two hundred seventy-two".