173280 has 72 divisors (see below), whose sum is σ = 576072. Its totient is φ = 43776.

The previous prime is 173273. The next prime is 173291. The reversal of 173280 is 82371.

It is a congruent number.

It is an unprimeable number.

173280 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, 9111 + ... + 9129.

It is an arithmetic number, because the mean of its divisors is an integer number (8001).

173280 is a Friedman number, since it can be written as 80*(3^7-21), using all its digits and the basic arithmetic operations.

2¹⁷³²⁸⁰ is an apocalyptic number.

173280 is a gapful number since it is divisible by the number (10) 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 173280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288036).

173280 is an abundant number, since it is smaller than the sum of its proper divisors (402792).

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

173280 is a wasteful number, since it uses less digits than its factorization.

173280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 173280 is about 416.2691437039. The cubic root of 173280 is about 55.7505915332.

Subtracting from 173280 its reverse (82371), we obtain a palindrome (90909).

The spelling of 173280 in words is "one hundred seventy-three thousand, two hundred eighty".