163272 has 16 divisors (see below), whose sum is σ = 408240. Its totient is φ = 54416.

The previous prime is 163259. The next prime is 163307. The reversal of 163272 is 272361.

It is a happy number.

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

It is a plaindrome in base 15.

It is an unprimeable number.

163272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3378 + ... + 3425.

It is an arithmetic number, because the mean of its divisors is an integer number (25515).

2¹⁶³²⁷² is an apocalyptic number.

163272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

163272 is an abundant number, since it is smaller than the sum of its proper divisors (244968).

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

163272 is a wasteful number, since it uses less digits than its factorization.

163272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6808 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 163272 is about 404.0693009868. The cubic root of 163272 is about 54.6559235945.

It can be divided in two parts, 163 and 272, that added together give a triangular number (435 = T₂₉).

The spelling of 163272 in words is "one hundred sixty-three thousand, two hundred seventy-two".