10075168 has 48 divisors (see below), whose sum is σ = 21258720. Its totient is φ = 4686336.

The previous prime is 10075159. The next prime is 10075181. The reversal of 10075168 is 86157001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44271 + ... + 44497.

It is an arithmetic number, because the mean of its divisors is an integer number (442890).

Almost surely, 2^10075168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10075168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10629360).

10075168 is an abundant number, since it is smaller than the sum of its proper divisors (11183552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10075168 is a wasteful number, since it uses less digits than its factorization.

10075168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 10075168 is about 3174.1405135879. The cubic root of 10075168 is about 215.9819372184.

The spelling of 10075168 in words is "ten million, seventy-five thousand, one hundred sixty-eight".