164372 has 24 divisors (see below), whose sum is σ = 323400. Its totient is φ = 72576.

The previous prime is 164371. The next prime is 164377. The reversal of 164372 is 273461.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 148996 = 124^2 + 386^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1454 + ... + 1562.

It is an arithmetic number, because the mean of its divisors is an integer number (13475).

2¹⁶⁴³⁷² is an apocalyptic number.

It is an amenable number.

164372 is a deficient number, since it is larger than the sum of its proper divisors (159028).

164372 is a wasteful number, since it uses less digits than its factorization.

164372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 164372 is about 405.4281687303. The cubic root of 164372 is about 54.7783920351.

The spelling of 164372 in words is "one hundred sixty-four thousand, three hundred seventy-two".