2767872 has 88 divisors (see below), whose sum is σ = 7958736. Its totient is φ = 851968.

The previous prime is 2767871. The next prime is 2767883. The reversal of 2767872 is 2787672.

It is a super-2 number, since 2×2767872² = 15322230816768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2767872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2767871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52198 + ... + 52250.

2^2767872 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 2767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979368).

2767872 is an abundant number, since it is smaller than the sum of its proper divisors (5190864).

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

2767872 is a wasteful number, since it uses less digits than its factorization.

2767872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 2767872 is about 1663.6922792392. The cubic root of 2767872 is about 140.4048147309.

The spelling of 2767872 in words is "two million, seven hundred sixty-seven thousand, eight hundred seventy-two".