172098000 has 160 divisors (see below), whose sum is σ = 616686720. Its totient is φ = 45878400.

The previous prime is 172097999. The next prime is 172098001. The reversal of 172098000 is 890271.

172098000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (172097999) and next prime (172098001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172098001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52407 + ... + 55593.

It is an arithmetic number, because the mean of its divisors is an integer number (3854292).

Almost surely, 2^172098000 is an apocalyptic number.

172098000 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 172098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308343360).

172098000 is an abundant number, since it is smaller than the sum of its proper divisors (444588720).

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

172098000 is a wasteful number, since it uses less digits than its factorization.

172098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3197 counting only the distinct ones).

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

The square root of 172098000 is about 13118.6127315353. The cubic root of 172098000 is about 556.2353781453.

The spelling of 172098000 in words is "one hundred seventy-two million, ninety-eight thousand".