172873000 has 64 divisors (see below), whose sum is σ = 428360400. Its totient is φ = 65075200.

The previous prime is 172872989. The next prime is 172873027. The reversal of 172873000 is 378271.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 53670276 + 119202724 = 7326^2 + 10918^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 172873000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11916 + ... + 22084.

Almost surely, 2^172873000 is an apocalyptic number.

172873000 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 172873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214180200).

172873000 is an abundant number, since it is smaller than the sum of its proper divisors (255487400).

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

172873000 is a wasteful number, since it uses less digits than its factorization.

172873000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10207 (or 10193 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 172873000 is about 13148.1177360107. The cubic root of 172873000 is about 557.0690832469.

The spelling of 172873000 in words is "one hundred seventy-two million, eight hundred seventy-three thousand".