173052 has 72 divisors (see below), whose sum is σ = 524160. Its totient is φ = 47520.

The previous prime is 173039. The next prime is 173053. The reversal of 173052 is 250371.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173053) by changing a digit.

173052 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7513 + ... + 7535.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2¹⁷³⁰⁵² is an apocalyptic number.

173052 is a gapful number since it is divisible by the number (12) 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 173052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

173052 is an abundant number, since it is smaller than the sum of its proper divisors (351108).

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

173052 is a wasteful number, since it uses less digits than its factorization.

173052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 173052 is about 415.9951922799. The cubic root of 173052 is about 55.7261287870.

The spelling of 173052 in words is "one hundred seventy-three thousand, fifty-two".