12727728 has 90 divisors (see below), whose sum is σ = 38644476. Its totient is φ = 3908736.

The previous prime is 12727727. The next prime is 12727733. The reversal of 12727728 is 82772721.

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

It is a junction number, because it is equal to n+sod(n) for n = 12727692 and 12727701.

It is not an unprimeable number, because it can be changed into a prime (12727721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24075 + ... + 24597.

Almost surely, 2^12727728 is an apocalyptic number.

12727728 is a gapful number since it is divisible by the number (18) 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 12727728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322238).

12727728 is an abundant number, since it is smaller than the sum of its proper divisors (25916748).

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

12727728 is a wasteful number, since it uses less digits than its factorization.

12727728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 541 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 12727728 is about 3567.5941473211. The cubic root of 12727728 is about 233.4803282387.

The spelling of 12727728 in words is "twelve million, seven hundred twenty-seven thousand, seven hundred twenty-eight".