163472 has 20 divisors (see below), whose sum is σ = 335916. Its totient is φ = 76800.

The previous prime is 163469. The next prime is 163477. The reversal of 163472 is 274361.

163472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 132496 + 30976 = 364^2 + 176^2 .

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (163477) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 572.

2¹⁶³⁴⁷² is an apocalyptic number.

It is an amenable number.

163472 is an abundant number, since it is smaller than the sum of its proper divisors (172444).

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

163472 is a wasteful number, since it uses less digits than its factorization.

163472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

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

The square root of 163472 is about 404.3167075450. The cubic root of 163472 is about 54.6782314088.

Subtracting 163472 from its reverse (274361), we obtain a square (110889 = 333²).

The spelling of 163472 in words is "one hundred sixty-three thousand, four hundred seventy-two".