75225168 has 60 divisors (see below), whose sum is σ = 211325140. Its totient is φ = 24979968.

The previous prime is 75225097. The next prime is 75225169. The reversal of 75225168 is 86152257.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14197824 + 61027344 = 3768^2 + 7812^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75225169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44238 + ... + 45906.

Almost surely, 2^75225168 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 75225168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105662570).

75225168 is an abundant number, since it is smaller than the sum of its proper divisors (136099972).

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

75225168 is a wasteful number, since it uses less digits than its factorization.

75225168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1987 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 75225168 is about 8673.2443756647. The cubic root of 75225168 is about 422.1379422218.

The spelling of 75225168 in words is "seventy-five million, two hundred twenty-five thousand, one hundred sixty-eight".