189093672 has 96 divisors (see below), whose sum is σ = 540820800. Its totient is φ = 59566848.

The previous prime is 189093623. The next prime is 189093673. The reversal of 189093672 is 276390981.

It is not an unprimeable number, because it can be changed into a prime (189093673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146743 + ... + 148025.

It is an arithmetic number, because the mean of its divisors is an integer number (5633550).

Almost surely, 2^189093672 is an apocalyptic number.

189093672 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 189093672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270410400).

189093672 is an abundant number, since it is smaller than the sum of its proper divisors (351727128).

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

189093672 is a wasteful number, since it uses less digits than its factorization.

189093672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 189093672 is about 13751.1334805535. The cubic root of 189093672 is about 573.9741476862.

The spelling of 189093672 in words is "one hundred eighty-nine million, ninety-three thousand, six hundred seventy-two".