166272 has 32 divisors (see below), whose sum is σ = 442680. Its totient is φ = 55296.

The previous prime is 166259. The next prime is 166273. The reversal of 166272 is 272661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166273) 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 3 ways as a sum of consecutive naturals, for example, 168 + ... + 600.

2¹⁶⁶²⁷² is an apocalyptic number.

166272 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 166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221340).

166272 is an abundant number, since it is smaller than the sum of its proper divisors (276408).

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

166272 is an equidigital number, since it uses as much as digits as its factorization.

166272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 166272 is about 407.7646379960. The cubic root of 166272 is about 54.9886477948.

The spelling of 166272 in words is "one hundred sixty-six thousand, two hundred seventy-two".