1008072875 has 32 divisors (see below), whose sum is σ = 1279037760. Its totient is φ = 793152000.

The previous prime is 1008072859. The next prime is 1008072899. The reversal of 1008072875 is 5782708001.

It is not a de Polignac number, because 1008072875 - 2⁴ = 1008072859 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3283472 + ... + 3283778.

It is an arithmetic number, because the mean of its divisors is an integer number (39969930).

Almost surely, 2^1008072875 is an apocalyptic number.

1008072875 is a deficient number, since it is larger than the sum of its proper divisors (270964885).

1008072875 is a wasteful number, since it uses less digits than its factorization.

1008072875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 1008072875 is about 31750.1633854064. The cubic root of 1008072875 is about 1002.6837493794.

The spelling of 1008072875 in words is "one billion, eight million, seventy-two thousand, eight hundred seventy-five".