188749872 has 60 divisors (see below), whose sum is σ = 542602920. Its totient is φ = 62821440.

The previous prime is 188749871. The next prime is 188749901. The reversal of 188749872 is 278947881.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

188749872 is a `hidden beast` number, since 1 + 8 + 87 + 498 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (188749871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285222 + ... + 285882.

It is an arithmetic number, because the mean of its divisors is an integer number (9043382).

Almost surely, 2^188749872 is an apocalyptic number.

188749872 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 188749872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271301460).

188749872 is an abundant number, since it is smaller than the sum of its proper divisors (353853048).

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

188749872 is an frugal number, since it uses more digits than its factorization.

188749872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 666 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 188749872 is about 13738.6270056363. The cubic root of 188749872 is about 573.6260802903.

The spelling of 188749872 in words is "one hundred eighty-eight million, seven hundred forty-nine thousand, eight hundred seventy-two".