12717672 has 64 divisors (see below), whose sum is σ = 35251200. Its totient is φ = 3791040.

The previous prime is 12717671. The next prime is 12717697. The reversal of 12717672 is 27671721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12717671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17329 + ... + 18047.

It is an arithmetic number, because the mean of its divisors is an integer number (550800).

Almost surely, 2^12717672 is an apocalyptic number.

12717672 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 12717672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600).

12717672 is an abundant number, since it is smaller than the sum of its proper divisors (22533528).

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

12717672 is a wasteful number, since it uses less digits than its factorization.

12717672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 802 counting only the distinct ones).

The product of its digits is 8232, while the sum is 33.

The square root of 12717672 is about 3566.1845156974. The cubic root of 12717672 is about 233.4188221894.

The spelling of 12717672 in words is "twelve million, seven hundred seventeen thousand, six hundred seventy-two".