172118900 has 36 divisors (see below), whose sum is σ = 375436908. Its totient is φ = 68490240.

The previous prime is 172118899. The next prime is 172118927. The reversal of 172118900 is 9811271.

It can be written as a sum of positive squares in 6 ways, for example, as 2390116 + 169728784 = 1546^2 + 13028^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15332 + ... + 24068.

It is an arithmetic number, because the mean of its divisors is an integer number (10428803).

Almost surely, 2^172118900 is an apocalyptic number.

172118900 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 172118900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187718454).

172118900 is an abundant number, since it is smaller than the sum of its proper divisors (203318008).

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

172118900 is a wasteful number, since it uses less digits than its factorization.

172118900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8948 (or 8941 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 172118900 is about 13119.4092854823. The cubic root of 172118900 is about 556.2578940932.

The spelling of 172118900 in words is "one hundred seventy-two million, one hundred eighteen thousand, nine hundred".