12876072 has 128 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 3456000.

The previous prime is 12876047. The next prime is 12876079. The reversal of 12876072 is 27067821.

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 (12876079) 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, 85197 + ... + 85347.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 2^12876072 is an apocalyptic number.

12876072 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 12876072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

12876072 is an abundant number, since it is smaller than the sum of its proper divisors (26522328).

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

12876072 is a wasteful number, since it uses less digits than its factorization.

12876072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 12876072 is about 3588.3244000508. The cubic root of 12876072 is about 234.3839121233.

The spelling of 12876072 in words is "twelve million, eight hundred seventy-six thousand, seventy-two".