189915072 has 56 divisors (see below), whose sum is σ = 505577856. Its totient is φ = 62915328.

The previous prime is 189915067. The next prime is 189915079. The reversal of 189915072 is 270519981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189915079) 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, 29103 + ... + 35025.

It is an arithmetic number, because the mean of its divisors is an integer number (9028176).

Almost surely, 2^189915072 is an apocalyptic number.

189915072 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 189915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252788928).

189915072 is an abundant number, since it is smaller than the sum of its proper divisors (315662784).

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

189915072 is a wasteful number, since it uses less digits than its factorization.

189915072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105 (or 6095 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 189915072 is about 13780.9677454089. The cubic root of 189915072 is about 574.8040385795.

The spelling of 189915072 in words is "one hundred eighty-nine million, nine hundred fifteen thousand, seventy-two".