189472 has 24 divisors (see below), whose sum is σ = 387072. Its totient is φ = 91200.

The previous prime is 189467. The next prime is 189473. The reversal of 189472 is 274981.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (4032) is a multiple of the sum of its prime divisors (224).

It is not an unprimeable number, because it can be changed into a prime (189473) by changing a digit.

189472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 897 + ... + 1087.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2¹⁸⁹⁴⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536).

189472 is an abundant number, since it is smaller than the sum of its proper divisors (197600).

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

189472 is a wasteful number, since it uses less digits than its factorization.

189472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 189472 is about 435.2838154584. The cubic root of 189472 is about 57.4356684427.

The spelling of 189472 in words is "one hundred eighty-nine thousand, four hundred seventy-two".