189105072 has 40 divisors (see below), whose sum is σ = 526101744. Its totient is φ = 58185984.

The previous prime is 189105071. The next prime is 189105083. The reversal of 189105072 is 270501981.

It is a super-2 number, since 2×189105072² = 71521456512250368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (189105071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150903 + ... + 152150.

Almost surely, 2^189105072 is an apocalyptic number.

189105072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189105072 is an abundant number, since it is smaller than the sum of its proper divisors (336996672).

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

189105072 is a wasteful number, since it uses less digits than its factorization.

189105072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303077 (or 303071 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 189105072 is about 13751.5479855906. The cubic root of 189105072 is about 573.9856819586.

The spelling of 189105072 in words is "one hundred eighty-nine million, one hundred five thousand, seventy-two".