2768272 has 20 divisors (see below), whose sum is σ = 5776540. Its totient is φ = 1277568.

The previous prime is 2768267. The next prime is 2768287. The reversal of 2768272 is 2728672.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 2611456 = 396^2 + 1616^2 .

It is a d-powerful number, because it can be written as 2¹⁴ + 7⁶ + 6⁸ + 8 + 2¹⁶ + 7⁷ + 2¹⁶ .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6447 + ... + 6862.

It is an arithmetic number, because the mean of its divisors is an integer number (288827).

2^2768272 is an apocalyptic number.

It is an amenable number.

2768272 is an abundant number, since it is smaller than the sum of its proper divisors (3008268).

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

2768272 is a wasteful number, since it uses less digits than its factorization.

2768272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13330 (or 13324 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 2768272 is about 1663.8124894350. The cubic root of 2768272 is about 140.4115779556.

The spelling of 2768272 in words is "two million, seven hundred sixty-eight thousand, two hundred seventy-two".