19385872 has 40 divisors (see below), whose sum is σ = 42765120. Its totient is φ = 8426880.

The previous prime is 19385869. The next prime is 19385887. The reversal of 19385872 is 27858391.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1654 + ... + 6442.

It is an arithmetic number, because the mean of its divisors is an integer number (1069128).

Almost surely, 2^19385872 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 19385872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21382560).

19385872 is an abundant number, since it is smaller than the sum of its proper divisors (23379248).

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

19385872 is a wasteful number, since it uses less digits than its factorization.

19385872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4825 counting only the distinct ones).

The product of its digits is 120960, while the sum is 43.

The square root of 19385872 is about 4402.9390184285. The cubic root of 19385872 is about 268.6344957412.

The spelling of 19385872 in words is "nineteen million, three hundred eighty-five thousand, eight hundred seventy-two".