173072 has 20 divisors (see below), whose sum is σ = 347820. Its totient is φ = 83328.

The previous prime is 173059. The next prime is 173081. The reversal of 173072 is 270371.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 80656 = 304^2 + 284^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 173072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278 + ... + 650.

It is an arithmetic number, because the mean of its divisors is an integer number (17391).

2¹⁷³⁰⁷² 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 173072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173910).

173072 is an abundant number, since it is smaller than the sum of its proper divisors (174748).

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

173072 is a wasteful number, since it uses less digits than its factorization.

173072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 173072 is about 416.0192303248. The cubic root of 173072 is about 55.7282755013.

The spelling of 173072 in words is "one hundred seventy-three thousand, seventy-two", and thus it is an iban number.