172890 has 48 divisors (see below), whose sum is σ = 480168. Its totient is φ = 43008.

The previous prime is 172883. The next prime is 172933. The reversal of 172890 is 98271.

172890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 110889 + 62001 = 333^2 + 249^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1474 + ... + 1586.

2¹⁷²⁸⁹⁰ is an apocalyptic number.

172890 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 172890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240084).

172890 is an abundant number, since it is smaller than the sum of its proper divisors (307278).

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

172890 is a wasteful number, since it uses less digits than its factorization.

172890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 172890 is about 415.8004329002. The cubic root of 172890 is about 55.7087343018.

The spelling of 172890 in words is "one hundred seventy-two thousand, eight hundred ninety".