12800272 has 40 divisors (see below), whose sum is σ = 25926912. Its totient is φ = 6115200.

The previous prime is 12800267. The next prime is 12800279. The reversal of 12800272 is 27200821.

It is not an unprimeable number, because it can be changed into a prime (12800279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64878 + ... + 65074.

Almost surely, 2^12800272 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 12800272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963456).

12800272 is an abundant number, since it is smaller than the sum of its proper divisors (13126640).

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

12800272 is a wasteful number, since it uses less digits than its factorization.

12800272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 12800272 is about 3577.7467769533. The cubic root of 12800272 is about 233.9230759887.

The spelling of 12800272 in words is "twelve million, eight hundred thousand, two hundred seventy-two".