161728 has 42 divisors (see below), whose sum is σ = 387096. Its totient is φ = 65664.

The previous prime is 161717. The next prime is 161729. The reversal of 161728 is 827161.

161728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (672) is a multiple of the sum of its prime divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8503 + ... + 8521.

161728 is a Friedman number, since it can be written as 76^(1+1)*28, using all its digits and the basic arithmetic operations.

2¹⁶¹⁷²⁸ 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 161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193548).

161728 is an abundant number, since it is smaller than the sum of its proper divisors (225368).

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

161728 is an equidigital number, since it uses as much as digits as its factorization.

161728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its digits is 672, while the sum is 25.

The square root of 161728 is about 402.1541992818. The cubic root of 161728 is about 54.4830910146.

Adding to 161728 its reverse (827161), we get a palindrome (988889).

The spelling of 161728 in words is "one hundred sixty-one thousand, seven hundred twenty-eight".