19830272 has 80 divisors (see below), whose sum is σ = 49496832. Its totient is φ = 7710720.

The previous prime is 19830263. The next prime is 19830311. The reversal of 19830272 is 27203891.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 39173 + ... + 39675.

Almost surely, 2^19830272 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 19830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748416).

19830272 is an abundant number, since it is smaller than the sum of its proper divisors (29666560).

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

19830272 is an equidigital number, since it uses as much as digits as its factorization.

19830272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 19830272 is about 4453.1193561368. The cubic root of 19830272 is about 270.6717247984.

It can be divided in two parts, 19830 and 272, that added together give a palindrome (20102).

The spelling of 19830272 in words is "nineteen million, eight hundred thirty thousand, two hundred seventy-two".