2011072 has 42 divisors (see below), whose sum is σ = 4629912. Its totient is φ = 849024.

The previous prime is 2011069. The next prime is 2011073. The reversal of 2011072 is 2701102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29983 + ... + 30049.

It is an arithmetic number, because the mean of its divisors is an integer number (110236).

2^2011072 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 2011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314956).

2011072 is an abundant number, since it is smaller than the sum of its proper divisors (2618840).

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

2011072 is an frugal number, since it uses more digits than its factorization.

2011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 2011072 is about 1418.1227027306. The cubic root of 2011072 is about 126.2241747000.

Multiplying 2011072 by its product of nonzero digits (28), we get a square (56310016 = 7504²).

2011072 divided by its product of nonzero digits (28) gives a square (71824 = 268²).

Adding to 2011072 its reverse (2701102), we get a palindrome (4712174).

The spelling of 2011072 in words is "two million, eleven thousand, seventy-two".