2727144 has 72 divisors (see below), whose sum is σ = 8603010. Its totient is φ = 778176.

The previous prime is 2727143. The next prime is 2727149. The reversal of 2727144 is 4417272.

It is a happy number.

2727144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2683044 + 44100 = 1638^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2727143) 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 17 ways as a sum of consecutive naturals, for example, 3142 + ... + 3914.

2^2727144 is an apocalyptic number.

2727144 is a gapful number since it is divisible by the number (24) 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 2727144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301505).

2727144 is an abundant number, since it is smaller than the sum of its proper divisors (5875866).

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

2727144 is a wasteful number, since it uses less digits than its factorization.

2727144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 2727144 is about 1651.4066731123. The cubic root of 2727144 is about 139.7127443378.

The spelling of 2727144 in words is "two million, seven hundred twenty-seven thousand, one hundred forty-four".