19819272 has 64 divisors (see below), whose sum is σ = 55540800. Its totient is φ = 5840640.

The previous prime is 19819253. The next prime is 19819279. The reversal of 19819272 is 27291891.

It is a self number, because there is not a number n which added to its sum of digits gives 19819272.

It is not an unprimeable number, because it can be changed into a prime (19819279) 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 15 ways as a sum of consecutive naturals, for example, 8754 + ... + 10782.

It is an arithmetic number, because the mean of its divisors is an integer number (867825).

Almost surely, 2^19819272 is an apocalyptic number.

19819272 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 19819272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27770400).

19819272 is an abundant number, since it is smaller than the sum of its proper divisors (35721528).

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

19819272 is a wasteful number, since it uses less digits than its factorization.

19819272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2082 counting only the distinct ones).

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

The square root of 19819272 is about 4451.8840955263. The cubic root of 19819272 is about 270.6216676657.

The spelling of 19819272 in words is "nineteen million, eight hundred nineteen thousand, two hundred seventy-two".