19431872 has 56 divisors (see below), whose sum is σ = 41306496. Its totient is φ = 9047808.

The previous prime is 19431871. The next prime is 19431899. The reversal of 19431872 is 27813491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19431871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63143 + ... + 63449.

It is an arithmetic number, because the mean of its divisors is an integer number (737616).

Almost surely, 2^19431872 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 19431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20653248).

19431872 is an abundant number, since it is smaller than the sum of its proper divisors (21874624).

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

19431872 is a wasteful number, since it uses less digits than its factorization.

19431872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 19431872 is about 4408.1597067257. The cubic root of 19431872 is about 268.8468054360.

The spelling of 19431872 in words is "nineteen million, four hundred thirty-one thousand, eight hundred seventy-two".