19219872 has 96 divisors (see below), whose sum is σ = 59294592. Its totient is φ = 5336064.

The previous prime is 19219853. The next prime is 19219883. The reversal of 19219872 is 27891291.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 19219872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24478 + ... + 25250.

It is an arithmetic number, because the mean of its divisors is an integer number (617652).

Almost surely, 2^19219872 is an apocalyptic number.

19219872 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 19219872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29647296).

19219872 is an abundant number, since it is smaller than the sum of its proper divisors (40074720).

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

19219872 is a wasteful number, since it uses less digits than its factorization.

19219872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 822 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The square root of 19219872 is about 4384.0474449987. The cubic root of 19219872 is about 267.8655299266.

The spelling of 19219872 in words is "nineteen million, two hundred nineteen thousand, eight hundred seventy-two".