23712 has 48 divisors (see below), whose sum is σ = 70560. Its totient is φ = 6912.

The previous prime is 23689. The next prime is 23719. The reversal of 23712 is 21732.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 23691 and 23700.

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 23712.

It is not an unprimeable number, because it can be changed into a prime (23719) 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, 1239 + ... + 1257.

It is an arithmetic number, because the mean of its divisors is an integer number (1470).

2²³⁷¹² 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 23712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

23712 is an abundant number, since it is smaller than the sum of its proper divisors (46848).

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

23712 is a wasteful number, since it uses less digits than its factorization.

23712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 37 counting only the distinct ones).

The product of its digits is 84, while the sum is 15.

The square root of 23712 is about 153.9870124394. The cubic root of 23712 is about 28.7291468190.

The spelling of 23712 in words is "twenty-three thousand, seven hundred twelve", and thus it is an iban number.