19903872 has 64 divisors (see below), whose sum is σ = 55998000. Its totient is φ = 6242304.

The previous prime is 19903861. The next prime is 19903903. The reversal of 19903872 is 27830991.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 19903872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5004 + ... + 8052.

Almost surely, 2^19903872 is an apocalyptic number.

19903872 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 19903872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27999000).

19903872 is an abundant number, since it is smaller than the sum of its proper divisors (36094128).

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

19903872 is a wasteful number, since it uses less digits than its factorization.

19903872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3071 counting only the distinct ones).

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

The square root of 19903872 is about 4461.3755726233. The cubic root of 19903872 is about 271.0061771534.

The spelling of 19903872 in words is "nineteen million, nine hundred three thousand, eight hundred seventy-two".