173728 has 24 divisors (see below), whose sum is σ = 351540. Its totient is φ = 84480.

The previous prime is 173713. The next prime is 173729. The reversal of 173728 is 827371.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 35344 = 372^2 + 188^2 .

It is a junction number, because it is equal to n+sod(n) for n = 173696 and 173705.

It is not an unprimeable number, because it can be changed into a prime (173729) by changing a digit.

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, 1908 + ... + 1996.

2¹⁷³⁷²⁸ 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 173728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175770).

173728 is an abundant number, since it is smaller than the sum of its proper divisors (177812).

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

173728 is an equidigital number, since it uses as much as digits as its factorization.

173728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 173728 is about 416.8069097316. The cubic root of 173728 is about 55.7985962486.

The spelling of 173728 in words is "one hundred seventy-three thousand, seven hundred twenty-eight".