2688272 has 40 divisors (see below), whose sum is σ = 5654400. Its totient is φ = 1233792.

The previous prime is 2688239. The next prime is 2688299. The reversal of 2688272 is 2728862.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11129 + ... + 11367.

It is an arithmetic number, because the mean of its divisors is an integer number (141360).

2^2688272 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 2688272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827200).

2688272 is an abundant number, since it is smaller than the sum of its proper divisors (2966128).

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

2688272 is a wasteful number, since it uses less digits than its factorization.

2688272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 2688272 is about 1639.5950719614. The cubic root of 2688272 is about 139.0457555145.

The spelling of 2688272 in words is "two million, six hundred eighty-eight thousand, two hundred seventy-two".