12733728 has 72 divisors (see below), whose sum is σ = 38897712. Its totient is φ = 3636864.

The previous prime is 12733703. The next prime is 12733729. The reversal of 12733728 is 82733721.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12733729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3351 + ... + 6057.

It is an arithmetic number, because the mean of its divisors is an integer number (540246).

Almost surely, 2^12733728 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 12733728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19448856).

12733728 is an abundant number, since it is smaller than the sum of its proper divisors (26163984).

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

12733728 is a wasteful number, since it uses less digits than its factorization.

12733728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2719 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 12733728 is about 3568.4349510675. The cubic root of 12733728 is about 233.5170109285.

The spelling of 12733728 in words is "twelve million, seven hundred thirty-three thousand, seven hundred twenty-eight".