189711072 has 144 divisors (see below), whose sum is σ = 578253312. Its totient is φ = 61119360.

The previous prime is 189711047. The next prime is 189711079. The reversal of 189711072 is 270117981.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189711079) 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, 240663 + ... + 241449.

It is an arithmetic number, because the mean of its divisors is an integer number (4015648).

Almost surely, 2^189711072 is an apocalyptic number.

189711072 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 189711072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289126656).

189711072 is an abundant number, since it is smaller than the sum of its proper divisors (388542240).

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

189711072 is an equidigital number, since it uses as much as digits as its factorization.

189711072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 189711072 is about 13773.5642445955. The cubic root of 189711072 is about 574.5981535081.

The spelling of 189711072 in words is "one hundred eighty-nine million, seven hundred eleven thousand, seventy-two".