2711072 has 96 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 1016064.

The previous prime is 2711057. The next prime is 2711077. The reversal of 2711072 is 2701172.

It is a super-2 number, since 2×2711072² = 14699822778368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2711077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142679 + ... + 142697.

It is an arithmetic number, because the mean of its divisors is an integer number (73500).

2^2711072 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 2711072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

2711072 is an abundant number, since it is smaller than the sum of its proper divisors (4344928).

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

2711072 is a wasteful number, since it uses less digits than its factorization.

2711072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 2711072 is about 1646.5333279348. The cubic root of 2711072 is about 139.4377449461.

The spelling of 2711072 in words is "two million, seven hundred eleven thousand, seventy-two".