12721632 has 96 divisors (see below), whose sum is σ = 41658624. Its totient is φ = 3302400.

The previous prime is 12721609. The next prime is 12721651. The reversal of 12721632 is 23612721.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6532 + ... + 8252.

It is an arithmetic number, because the mean of its divisors is an integer number (433944).

Almost surely, 2^12721632 is an apocalyptic number.

12721632 is a gapful number since it is divisible by the number (12) 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 12721632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20829312).

12721632 is an abundant number, since it is smaller than the sum of its proper divisors (28936992).

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

12721632 is a wasteful number, since it uses less digits than its factorization.

12721632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1744 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 12721632 is about 3566.7396877260. The cubic root of 12721632 is about 233.4430468173.

The spelling of 12721632 in words is "twelve million, seven hundred twenty-one thousand, six hundred thirty-two".