19839072 has 48 divisors (see below), whose sum is σ = 56814912. Its totient is φ = 6011520.

The previous prime is 19839047. The next prime is 19839073. The reversal of 19839072 is 27093891.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 19839072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19839073) by changing a digit.

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, 8338 + ... + 10449.

It is an arithmetic number, because the mean of its divisors is an integer number (1183644).

Almost surely, 2^19839072 is an apocalyptic number.

19839072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19839072 is an abundant number, since it is smaller than the sum of its proper divisors (36975840).

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

19839072 is a wasteful number, since it uses less digits than its factorization.

19839072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18811 (or 18803 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 19839072 is about 4454.1073179707. The cubic root of 19839072 is about 270.7117571780.

The spelling of 19839072 in words is "nineteen million, eight hundred thirty-nine thousand, seventy-two".