167328 has 72 divisors (see below), whose sum is σ = 550368. Its totient is φ = 47232.

The previous prime is 167317. The next prime is 167329. The reversal of 167328 is 823761.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (167329) by changing a digit.

167328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1975 + ... + 2057.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2¹⁶⁷³²⁸ is an apocalyptic number.

167328 is a gapful number since it is divisible by the number (18) 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 167328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184).

167328 is an abundant number, since it is smaller than the sum of its proper divisors (383040).

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

167328 is a wasteful number, since it uses less digits than its factorization.

167328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 167328 is about 409.0574531774. The cubic root of 167328 is about 55.1048139026.

The spelling of 167328 in words is "one hundred sixty-seven thousand, three hundred twenty-eight".