75276168 has 64 divisors (see below), whose sum is σ = 206107200. Its totient is φ = 22721280.

The previous prime is 75276161. The next prime is 75276181. The reversal of 75276168 is 86167257.

It is not an unprimeable number, because it can be changed into a prime (75276161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102330 + ... + 103062.

It is an arithmetic number, because the mean of its divisors is an integer number (3220425).

Almost surely, 2^75276168 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 75276168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103053600).

75276168 is an abundant number, since it is smaller than the sum of its proper divisors (130831032).

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

75276168 is a wasteful number, since it uses less digits than its factorization.

75276168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1138 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 75276168 is about 8676.1839537898. The cubic root of 75276168 is about 422.2333188630.

It can be divided in two parts, 7527 and 6168, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 75276168 in words is "seventy-five million, two hundred seventy-six thousand, one hundred sixty-eight".