10752168 has 96 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 2983680.

The previous prime is 10752167. The next prime is 10752173. The reversal of 10752168 is 86125701.

It is not an unprimeable number, because it can be changed into a prime (10752167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48105 + ... + 48327.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 2^10752168 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 10752168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

10752168 is an abundant number, since it is smaller than the sum of its proper divisors (21423192).

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

10752168 is a wasteful number, since it uses less digits than its factorization.

10752168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 10752168 is about 3279.0498623839. The cubic root of 10752168 is about 220.7150836562.

Adding to 10752168 its reverse (86125701), we get a palindrome (96877869).

It can be divided in two parts, 10752 and 168, that multiplied together give a square (1806336 = 1344²).

The spelling of 10752168 in words is "ten million, seven hundred fifty-two thousand, one hundred sixty-eight".