189891072 has 270 divisors, whose sum is σ = 660255453. Its totient is φ = 52383744.

The previous prime is 189891061. The next prime is 189891077. The reversal of 189891072 is 270198981.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 189778176 + 112896 = 13776^2 + 336^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=9744.

It is not an unprimeable number, because it can be changed into a prime (189891077) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6547954 + ... + 6547982.

Almost surely, 2^189891072 is an apocalyptic number.

189891072 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 189891072

189891072 is an abundant number, since it is smaller than the sum of its proper divisors (470364381).

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

189891072 is an equidigital number, since it uses as much as digits as its factorization.

189891072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 189891072 is about 13780.0969517634. The cubic root of 189891072 is about 574.7798244611.

The spelling of 189891072 in words is "one hundred eighty-nine million, eight hundred ninety-one thousand, seventy-two".