188172000 has 144 divisors (see below), whose sum is σ = 667950192. Its totient is φ = 50169600.

The previous prime is 188171987. The next prime is 188172037. The reversal of 188172000 is 271881.

188172000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 33387 + ... + 38613.

It is an arithmetic number, because the mean of its divisors is an integer number (4638543).

Almost surely, 2^188172000 is an apocalyptic number.

188172000 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 188172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333975096).

188172000 is an abundant number, since it is smaller than the sum of its proper divisors (479778192).

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

188172000 is a wasteful number, since it uses less digits than its factorization.

188172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 188172000 is about 13717.5799614947. The cubic root of 188172000 is about 573.0400819892.

The spelling of 188172000 in words is "one hundred eighty-eight million, one hundred seventy-two thousand".