169728 has 72 divisors (see below), whose sum is σ = 515088. Its totient is φ = 49152.

The previous prime is 169709. The next prime is 169733. The reversal of 169728 is 827961.

169728 is nontrivially palindromic in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9976 + ... + 9992.

It is an arithmetic number, because the mean of its divisors is an integer number (7154).

2¹⁶⁹⁷²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257544).

169728 is an abundant number, since it is smaller than the sum of its proper divisors (345360).

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

169728 is a wasteful number, since it uses less digits than its factorization.

169728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 35 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 169728 is about 411.9805820667. The cubic root of 169728 is about 55.3670219522.

The spelling of 169728 in words is "one hundred sixty-nine thousand, seven hundred twenty-eight".