164347272 has 64 divisors (see below), whose sum is σ = 457617600. Its totient is φ = 54650880.

The previous prime is 164347217. The next prime is 164347277. The reversal of 164347272 is 272743461.

164347272 is a `hidden beast` number, since 1 + 643 + 4 + 7 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164347277) 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, 137863 + ... + 139049.

It is an arithmetic number, because the mean of its divisors is an integer number (7150275).

Almost surely, 2^164347272 is an apocalyptic number.

164347272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164347272 is an abundant number, since it is smaller than the sum of its proper divisors (293270328).

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

164347272 is a wasteful number, since it uses less digits than its factorization.

164347272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1833 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 164347272 is about 12819.7999984399. The cubic root of 164347272 is about 547.7564495729.

The spelling of 164347272 in words is "one hundred sixty-four million, three hundred forty-seven thousand, two hundred seventy-two".