12576 has 24 divisors (see below), whose sum is σ = 33264. Its totient is φ = 4160.

The previous prime is 12569. The next prime is 12577. The reversal of 12576 is 67521.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (12577) 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, 31 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (1386).

2¹²⁵⁷⁶ is an apocalyptic number.

12576 is a gapful number since it is divisible by the number (16) 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 12576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632).

12576 is an abundant number, since it is smaller than the sum of its proper divisors (20688).

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

12576 is a wasteful number, since it uses less digits than its factorization.

12576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 12576 is about 112.1427661510. The cubic root of 12576 is about 23.2548839318.

Adding to 12576 its product of digits (420), we get a square (12996 = 114²).

Subtracting 12576 from its reverse (67521), we obtain a palindrome (54945).

The spelling of 12576 in words is "twelve thousand, five hundred seventy-six".