19712 has 36 divisors (see below), whose sum is σ = 49056. Its totient is φ = 7680.

The previous prime is 19709. The next prime is 19717. The reversal of 19712 is 21791.

19712 is nontrivially palindromic in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 19712.

It is not an unprimeable number, because it can be changed into a prime (19717) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1787 + ... + 1797.

2¹⁹⁷¹² 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 19712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24528).

19712 is an abundant number, since it is smaller than the sum of its proper divisors (29344).

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

19712 is an equidigital number, since it uses as much as digits as its factorization.

19712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 20 counting only the distinct ones).

The product of its digits is 126, while the sum is 20.

The square root of 19712 is about 140.3994301983. The cubic root of 19712 is about 27.0132536668.

The spelling of 19712 in words is "nineteen thousand, seven hundred twelve".