189612672 has 64 divisors (see below), whose sum is σ = 521056800. Its totient is φ = 61021184.

The previous prime is 189612637. The next prime is 189612677. The reversal of 189612672 is 276216981.

189612672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (189612677) 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, 2623 + ... + 19649.

Almost surely, 2^189612672 is an apocalyptic number.

189612672 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 189612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260528400).

189612672 is an abundant number, since it is smaller than the sum of its proper divisors (331444128).

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

189612672 is a wasteful number, since it uses less digits than its factorization.

189612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17073 (or 17061 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 189612672 is about 13769.9917211304. The cubic root of 189612672 is about 574.4987914694.

The spelling of 189612672 in words is "one hundred eighty-nine million, six hundred twelve thousand, six hundred seventy-two".