19882272 has 48 divisors (see below), whose sum is σ = 52944192. Its totient is φ = 6531840.

The previous prime is 19882243. The next prime is 19882273. The reversal of 19882272 is 27228891.

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 19882272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19882273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5358 + ... + 8274.

It is an arithmetic number, because the mean of its divisors is an integer number (1103004).

Almost surely, 2^19882272 is an apocalyptic number.

19882272 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 19882272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26472096).

19882272 is an abundant number, since it is smaller than the sum of its proper divisors (33061920).

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

19882272 is a wasteful number, since it uses less digits than its factorization.

19882272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2993 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 19882272 is about 4458.9541374632. The cubic root of 19882272 is about 270.9081082580.

The spelling of 19882272 in words is "nineteen million, eight hundred eighty-two thousand, two hundred seventy-two".