75648168 has 40 divisors (see below), whose sum is σ = 211886730. Its totient is φ = 25215840.

The previous prime is 75648163. The next prime is 75648233. The reversal of 75648168 is 86184657.

It is a happy number.

75648168 is a `hidden beast` number, since 7 + 564 + 81 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68260644 + 7387524 = 8262^2 + 2718^2 .

It is not an unprimeable number, because it can be changed into a prime (75648163) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 57723 + ... + 59018.

Almost surely, 2^75648168 is an apocalyptic number.

It is an amenable number.

75648168 is an abundant number, since it is smaller than the sum of its proper divisors (136238562).

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

75648168 is a wasteful number, since it uses less digits than its factorization.

75648168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116759 (or 116746 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 75648168 is about 8697.5955298002. The cubic root of 75648168 is about 422.9277075792.

The spelling of 75648168 in words is "seventy-five million, six hundred forty-eight thousand, one hundred sixty-eight".