166728 has 16 divisors (see below), whose sum is σ = 416880. Its totient is φ = 55568.

The previous prime is 166723. The next prime is 166739. The reversal of 166728 is 827661.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 166695 and 166704.

It is not an unprimeable number, because it can be changed into a prime (166723) by changing a digit.

166728 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 3 ways as a sum of consecutive naturals, for example, 3450 + ... + 3497.

It is an arithmetic number, because the mean of its divisors is an integer number (26055).

2¹⁶⁶⁷²⁸ is an apocalyptic number.

It is an amenable number.

166728 is an abundant number, since it is smaller than the sum of its proper divisors (250152).

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

166728 is a wasteful number, since it uses less digits than its factorization.

166728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956 (or 6952 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 166728 is about 408.3234012398. The cubic root of 166728 is about 55.0388705938.

The spelling of 166728 in words is "one hundred sixty-six thousand, seven hundred twenty-eight".