12591072 has 192 divisors, whose sum is σ = 42336000. Its totient is φ = 3608064.

The previous prime is 12591043. The next prime is 12591149. The reversal of 12591072 is 27019521.

12591072 is a `hidden beast` number, since 1 + 2 + 591 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 213379 + ... + 213437.

It is an arithmetic number, because the mean of its divisors is an integer number (220500).

Almost surely, 2^12591072 is an apocalyptic number.

12591072 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 12591072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

12591072 is an abundant number, since it is smaller than the sum of its proper divisors (29744928).

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

12591072 is a wasteful number, since it uses less digits than its factorization.

12591072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 12591072 is about 3548.3900574768. The cubic root of 12591072 is about 232.6417034198.

The spelling of 12591072 in words is "twelve million, five hundred ninety-one thousand, seventy-two".