172050 has 48 divisors (see below), whose sum is σ = 452352. Its totient is φ = 43200.

The previous prime is 172049. The next prime is 172069. The reversal of 172050 is 50271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4632 + ... + 4668.

It is an arithmetic number, because the mean of its divisors is an integer number (9424).

2¹⁷²⁰⁵⁰ is an apocalyptic number.

172050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226176).

172050 is an abundant number, since it is smaller than the sum of its proper divisors (280302).

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

172050 is a wasteful number, since it uses less digits than its factorization.

172050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 172050 is about 414.7891030391. The cubic root of 172050 is about 55.6183659975.

It can be divided in two parts, 1720 and 50, that added together give a triangular number (1770 = T₅₉).

The spelling of 172050 in words is "one hundred seventy-two thousand, fifty".