12723936 has 24 divisors (see below), whose sum is σ = 33400584. Its totient is φ = 4241280.

The previous prime is 12723923. The next prime is 12723941. The reversal of 12723936 is 63932721.

12723936 = 414² + 415² + ... + 477².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 12723897 and 12723906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66175 + ... + 66366.

It is an arithmetic number, because the mean of its divisors is an integer number (1391691).

Almost surely, 2^12723936 is an apocalyptic number.

12723936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12723936 is an abundant number, since it is smaller than the sum of its proper divisors (20676648).

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

12723936 is a wasteful number, since it uses less digits than its factorization.

12723936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132554 (or 132546 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 12723936 is about 3567.0626571452. The cubic root of 12723936 is about 233.4571388330.

The spelling of 12723936 in words is "twelve million, seven hundred twenty-three thousand, nine hundred thirty-six".