12583872 has 84 divisors (see below), whose sum is σ = 41235376. Its totient is φ = 3594240.

The previous prime is 12583853. The next prime is 12583889. The reversal of 12583872 is 27838521.

12583872 is a `hidden beast` number, since 1 + 2 + 583 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2472 + ... + 5592.

Almost surely, 2^12583872 is an apocalyptic number.

12583872 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 12583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20617688).

12583872 is an abundant number, since it is smaller than the sum of its proper divisors (28651504).

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

12583872 is a wasteful number, since it uses less digits than its factorization.

12583872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3133 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12583872 is about 3547.3753677895. The cubic root of 12583872 is about 232.5973508382.

The spelling of 12583872 in words is "twelve million, five hundred eighty-three thousand, eight hundred seventy-two".