12957672 has 128 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 3207168.

The previous prime is 12957667. The next prime is 12957673. The reversal of 12957672 is 27675921.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 12957672.

It is not an unprimeable number, because it can be changed into a prime (12957673) 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, 36954 + ... + 37302.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 2^12957672 is an apocalyptic number.

12957672 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 12957672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

12957672 is an abundant number, since it is smaller than the sum of its proper divisors (29378328).

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

12957672 is a wasteful number, since it uses less digits than its factorization.

12957672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 12957672 is about 3599.6766521453. The cubic root of 12957672 is about 234.8779931034.

The spelling of 12957672 in words is "twelve million, nine hundred fifty-seven thousand, six hundred seventy-two".