4005072575 has 18 divisors (see below), whose sum is σ = 5777114616. Its totient is φ = 2746334640.

The previous prime is 4005072499. The next prime is 4005072587. The reversal of 4005072575 is 5752705004.

It is a happy number.

It is not a de Polignac number, because 4005072575 - 2⁸ = 4005072319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1633499 + ... + 1635948.

It is an arithmetic number, because the mean of its divisors is an integer number (320950812).

Almost surely, 2^4005072575 is an apocalyptic number.

4005072575 is a deficient number, since it is larger than the sum of its proper divisors (1772042041).

4005072575 is a wasteful number, since it uses less digits than its factorization.

4005072575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269471 (or 3269459 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 35.

The square root of 4005072575 is about 63285.6427240808. The cubic root of 4005072575 is about 1588.0717860932.

Adding to 4005072575 its reverse (5752705004), we get a palindrome (9757777579).

The spelling of 4005072575 in words is "four billion, five million, seventy-two thousand, five hundred seventy-five".