2729712 has 80 divisors (see below), whose sum is σ = 7633440. Its totient is φ = 838656.

The previous prime is 2729681. The next prime is 2729717. The reversal of 2729712 is 2179272.

It is a happy number.

2729712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2729712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729717) 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 15 ways as a sum of consecutive naturals, for example, 51478 + ... + 51530.

It is an arithmetic number, because the mean of its divisors is an integer number (95418).

2^2729712 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 2729712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816720).

2729712 is an abundant number, since it is smaller than the sum of its proper divisors (4903728).

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

2729712 is a wasteful number, since it uses less digits than its factorization.

2729712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 2729712 is about 1652.1840091225. The cubic root of 2729712 is about 139.7565838235.

The spelling of 2729712 in words is "two million, seven hundred twenty-nine thousand, seven hundred twelve".