188731872 has 144 divisors (see below), whose sum is σ = 617984640. Its totient is φ = 53519616.

The previous prime is 188731861. The next prime is 188731889. The reversal of 188731872 is 278137881.

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

It is a nude number because it is divisible by every one of its digits.

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, 360603 + ... + 361125.

It is an arithmetic number, because the mean of its divisors is an integer number (4291560).

Almost surely, 2^188731872 is an apocalyptic number.

188731872 is a gapful number since it is divisible by the number (12) 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 188731872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308992320).

188731872 is an abundant number, since it is smaller than the sum of its proper divisors (429252768).

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

188731872 is a wasteful number, since it uses less digits than its factorization.

188731872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 714 counting only the distinct ones).

The product of its digits is 150528, while the sum is 45.

The square root of 188731872 is about 13737.9719027228. The cubic root of 188731872 is about 573.6078452269.

The spelling of 188731872 in words is "one hundred eighty-eight million, seven hundred thirty-one thousand, eight hundred seventy-two".