4072509 has 24 divisors (see below), whose sum is σ = 6789120. Its totient is φ = 2304288.

The previous prime is 4072507. The next prime is 4072513. The reversal of 4072509 is 9052704.

4072509 is a `hidden beast` number, since 407 + 250 + 9 = 666.

It is not a de Polignac number, because 4072509 - 2¹ = 4072507 is a prime.

4072509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7747 + ... + 8255.

It is an arithmetic number, because the mean of its divisors is an integer number (282880).

Almost surely, 2^4072509 is an apocalyptic number.

It is an amenable number.

4072509 is a deficient number, since it is larger than the sum of its proper divisors (2716611).

4072509 is a wasteful number, since it uses less digits than its factorization.

4072509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 4072509 is about 2018.0458369423. The cubic root of 4072509 is about 159.6935409969.

It can be divided in two parts, 407 and 2509, that added together give a square (2916 = 54²).

The spelling of 4072509 in words is "four million, seventy-two thousand, five hundred nine".