2742872 has 32 divisors (see below), whose sum is σ = 5702400. Its totient is φ = 1226400.

The previous prime is 2742871. The next prime is 2742881. The reversal of 2742872 is 2782472.

It is a happy number.

2742872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2¹⁶ + 7⁴ + 4⁷ + 2¹⁹ + 8⁶ + 7⁷ + 2²⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742871) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6029 + ... + 6467.

It is an arithmetic number, because the mean of its divisors is an integer number (178200).

2^2742872 is an apocalyptic number.

2742872 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 2742872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851200).

2742872 is an abundant number, since it is smaller than the sum of its proper divisors (2959528).

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

2742872 is a wasteful number, since it uses less digits than its factorization.

2742872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 2742872 is about 1656.1618278417. The cubic root of 2742872 is about 139.9808136973.

The spelling of 2742872 in words is "two million, seven hundred forty-two thousand, eight hundred seventy-two".