12037728 has 48 divisors (see below), whose sum is σ = 32462640. Its totient is φ = 3902976.

The previous prime is 12037699. The next prime is 12037733. The reversal of 12037728 is 82773021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12037695 and 12037704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1858 + ... + 5246.

It is an arithmetic number, because the mean of its divisors is an integer number (676305).

Almost surely, 2^12037728 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 12037728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16231320).

12037728 is an abundant number, since it is smaller than the sum of its proper divisors (20424912).

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

12037728 is a wasteful number, since it uses less digits than its factorization.

12037728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 12037728 is about 3469.5429093758. The cubic root of 12037728 is about 229.1825296053.

The spelling of 12037728 in words is "twelve million, thirty-seven thousand, seven hundred twenty-eight".