2783872 has 64 divisors (see below), whose sum is σ = 6854400. Its totient is φ = 1096704.

The previous prime is 2783849. The next prime is 2783873.

2783872 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (2783873) 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, 11529 + ... + 11767.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

2^2783872 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 2783872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200).

2783872 is an abundant number, since it is smaller than the sum of its proper divisors (4070528).

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

2783872 is a wasteful number, since it uses less digits than its factorization.

2783872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 2783872 is about 1668.4939316641. The cubic root of 2783872 is about 140.6748371177.

It can be divided in two parts, 2783 and 872, that added together give a triangular number (3655 = T₈₅).

The spelling of 2783872 in words is "two million, seven hundred eighty-three thousand, eight hundred seventy-two".