2791272 has 64 divisors (see below), whose sum is σ = 7761600. Its totient is φ = 829440.

The previous prime is 2791267. The next prime is 2791297. The reversal of 2791272 is 2721972.

It is a happy number.

2791272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25554 + ... + 25662.

It is an arithmetic number, because the mean of its divisors is an integer number (121275).

2^2791272 is an apocalyptic number.

2791272 is a gapful number since it is divisible by the number (22) 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 2791272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880800).

2791272 is an abundant number, since it is smaller than the sum of its proper divisors (4970328).

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

2791272 is a wasteful number, since it uses less digits than its factorization.

2791272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 2791272 is about 1670.7100287004. The cubic root of 2791272 is about 140.7993726298.

It can be divided in two parts, 279 and 1272, that added together give a palindrome (1551).

The spelling of 2791272 in words is "two million, seven hundred ninety-one thousand, two hundred seventy-two".