1005072172 has 24 divisors (see below), whose sum is σ = 1910948256. Its totient is φ = 459771648.

The previous prime is 1005072151. The next prime is 1005072179. The reversal of 1005072172 is 2712705001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1005072179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79648 + ... + 91399.

It is an arithmetic number, because the mean of its divisors is an integer number (79622844).

Almost surely, 2^1005072172 is an apocalyptic number.

It is an amenable number.

1005072172 is a deficient number, since it is larger than the sum of its proper divisors (905876084).

1005072172 is a wasteful number, since it uses less digits than its factorization.

1005072172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171177 (or 171175 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 1005072172 is about 31702.8732451808. The cubic root of 1005072172 is about 1001.6878734802.

Adding to 1005072172 its reverse (2712705001), we get a palindrome (3717777173).

The spelling of 1005072172 in words is "one billion, five million, seventy-two thousand, one hundred seventy-two".