12729920 has 56 divisors (see below), whose sum is σ = 34649664. Its totient is φ = 4363776.

The previous prime is 12729919. The next prime is 12729947. The reversal of 12729920 is 2992721.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602 + ... + 5081.

It is an arithmetic number, because the mean of its divisors is an integer number (618744).

Almost surely, 2^12729920 is an apocalyptic number.

12729920 is a gapful number since it is divisible by the number (10) 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 12729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17324832).

12729920 is an abundant number, since it is smaller than the sum of its proper divisors (21919744).

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

12729920 is an equidigital number, since it uses as much as digits as its factorization.

12729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 12729920 is about 3567.9013439275. The cubic root of 12729920 is about 233.4937309843.

The spelling of 12729920 in words is "twelve million, seven hundred twenty-nine thousand, nine hundred twenty".