2872782 has 36 divisors (see below), whose sum is σ = 6846840. Its totient is φ = 869880.

The previous prime is 2872777. The next prime is 2872783.

2872782 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872783) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1519 + ... + 2837.

It is an arithmetic number, because the mean of its divisors is an integer number (190190).

2^2872782 is an apocalyptic number.

2872782 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2872782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423420).

2872782 is an abundant number, since it is smaller than the sum of its proper divisors (3974058).

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

2872782 is a wasteful number, since it uses less digits than its factorization.

2872782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1335 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 2872782 is about 1694.9283170683. The cubic root of 2872782 is about 142.1567732260.

The spelling of 2872782 in words is "two million, eight hundred seventy-two thousand, seven hundred eighty-two".