12732720 has 320 divisors, whose sum is σ = 53996544. Its totient is φ = 2396160.

The previous prime is 12732703. The next prime is 12732721. The reversal of 12732720 is 2723721.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12732721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240214 + ... + 240266.

Almost surely, 2^12732720 is an apocalyptic number.

12732720 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 12732720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272).

12732720 is an abundant number, since it is smaller than the sum of its proper divisors (41263824).

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

12732720 is a wasteful number, since it uses less digits than its factorization.

12732720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 12732720 is about 3568.2937098843. The cubic root of 12732720 is about 233.5108490420.

It can be divided in two parts, 1273 and 2720, that added together give a palindrome (3993).

The spelling of 12732720 in words is "twelve million, seven hundred thirty-two thousand, seven hundred twenty".