12736000 has 80 divisors (see below), whose sum is σ = 31917600. Its totient is φ = 5068800.

The previous prime is 12735979. The next prime is 12736019. The reversal of 12736000 is 63721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63901 + ... + 64099.

It is an arithmetic number, because the mean of its divisors is an integer number (398970).

Almost surely, 2^12736000 is an apocalyptic number.

12736000 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 12736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958800).

12736000 is an abundant number, since it is smaller than the sum of its proper divisors (19181600).

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

12736000 is an frugal number, since it uses more digits than its factorization.

12736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 12736000 is about 3568.7532837113. The cubic root of 12736000 is about 233.5308984326.

Adding to 12736000 its reverse (63721), we get a palindrome (12799721).

The spelling of 12736000 in words is "twelve million, seven hundred thirty-six thousand".