2005072 has 20 divisors (see below), whose sum is σ = 3922740. Its totient is φ = 992768.

The previous prime is 2005061. The next prime is 2005079. The reversal of 2005072 is 2705002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 1971216 = 184^2 + 1404^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1254 + ... + 2362.

It is an arithmetic number, because the mean of its divisors is an integer number (196137).

2^2005072 is an apocalyptic number.

It is an amenable number.

2005072 is a deficient number, since it is larger than the sum of its proper divisors (1917668).

2005072 is a wasteful number, since it uses less digits than its factorization.

2005072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 2005072 is about 1416.0056497062. The cubic root of 2005072 is about 126.0985204097.

Subtracting from 2005072 its sum of digits (16), we obtain a square (2005056 = 1416²).

The spelling of 2005072 in words is "two million, five thousand, seventy-two".