12717432 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 3348864.

The previous prime is 12717431. The next prime is 12717437. The reversal of 12717432 is 23471721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 12717396 and 12717405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12717431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19333 + ... + 19979.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^12717432 is an apocalyptic number.

12717432 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 12717432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

12717432 is an abundant number, since it is smaller than the sum of its proper divisors (30828168).

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

12717432 is a wasteful number, since it uses less digits than its factorization.

12717432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 12717432 is about 3566.1508661300. The cubic root of 12717432 is about 233.4173538686.

The spelling of 12717432 in words is "twelve million, seven hundred seventeen thousand, four hundred thirty-two".