12723600 has 120 divisors (see below), whose sum is σ = 42622272. Its totient is φ = 3238400.

The previous prime is 12723583. The next prime is 12723611. The reversal of 12723600 is 632721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27370 + ... + 27830.

Almost surely, 2^12723600 is an apocalyptic number.

12723600 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 12723600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21311136).

12723600 is an abundant number, since it is smaller than the sum of its proper divisors (29898672).

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

12723600 is a wasteful number, since it uses less digits than its factorization.

12723600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 12723600 is about 3567.0155592596. The cubic root of 12723600 is about 233.4550838533.

The spelling of 12723600 in words is "twelve million, seven hundred twenty-three thousand, six hundred".