12840072 has 64 divisors (see below), whose sum is σ = 38292480. Its totient is φ = 3508032.

The previous prime is 12840031. The next prime is 12840089. The reversal of 12840072 is 27004821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2203 + ... + 5525.

It is an arithmetic number, because the mean of its divisors is an integer number (598320).

Almost surely, 2^12840072 is an apocalyptic number.

12840072 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 12840072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19146240).

12840072 is an abundant number, since it is smaller than the sum of its proper divisors (25452408).

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

12840072 is a wasteful number, since it uses less digits than its factorization.

12840072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 12840072 is about 3583.3046200400. The cubic root of 12840072 is about 234.1652715111.

Adding to 12840072 its reverse (27004821), we get a palindrome (39844893).

The spelling of 12840072 in words is "twelve million, eight hundred forty thousand, seventy-two".