12792520 has 64 divisors (see below), whose sum is σ = 31515120. Its totient is φ = 4644864.

The previous prime is 12792499. The next prime is 12792523. The reversal of 12792520 is 2529721.

It can be written as a sum of positive squares in 8 ways, for example, as 2256004 + 10536516 = 1502^2 + 3246^2 .

It is not an unprimeable number, because it can be changed into a prime (12792523) 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, 37792 + ... + 38128.

Almost surely, 2^12792520 is an apocalyptic number.

12792520 is a gapful number since it is divisible by the number (10) 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 12792520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15757560).

12792520 is an abundant number, since it is smaller than the sum of its proper divisors (18722600).

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

12792520 is a wasteful number, since it uses less digits than its factorization.

12792520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 12792520 is about 3576.6632494547. The cubic root of 12792520 is about 233.8758442352.

The spelling of 12792520 in words is "twelve million, seven hundred ninety-two thousand, five hundred twenty".