12763872 has 192 divisors, whose sum is σ = 43545600. Its totient is φ = 3594240.

The previous prime is 12763859. The next prime is 12763897. The reversal of 12763872 is 27836721.

12763872 is a `hidden beast` number, since 1 + 276 + 387 + 2 = 666.

It is a super-3 number, since 3×12763872³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (28224) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161529 + ... + 161607.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^12763872 is an apocalyptic number.

12763872 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 12763872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

12763872 is an abundant number, since it is smaller than the sum of its proper divisors (30781728).

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

12763872 is a wasteful number, since it uses less digits than its factorization.

12763872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 12763872 is about 3572.6561547398. The cubic root of 12763872 is about 233.7011306037.

The spelling of 12763872 in words is "twelve million, seven hundred sixty-three thousand, eight hundred seventy-two".