12257792 has 40 divisors (see below), whose sum is σ = 24858900. Its totient is φ = 6037504.

The previous prime is 12257771. The next prime is 12257809. The reversal of 12257792 is 29775221.

It can be written as a sum of positive squares in 2 ways, for example, as 10137856 + 2119936 = 3184^2 + 1456^2 .

Its product of digits (17640) is a multiple of the sum of its prime divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45434 + ... + 45702.

Almost surely, 2^12257792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12429450).

12257792 is an abundant number, since it is smaller than the sum of its proper divisors (12601108).

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

12257792 is an frugal number, since it uses more digits than its factorization.

12257792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its digits is 17640, while the sum is 35.

The square root of 12257792 is about 3501.1129659010. The cubic root of 12257792 is about 230.5706811407.

The spelling of 12257792 in words is "twelve million, two hundred fifty-seven thousand, seven hundred ninety-two".