75303120 has 40 divisors (see below), whose sum is σ = 233440416. Its totient is φ = 20080768.

The previous prime is 75303113. The next prime is 75303121. The reversal of 75303120 is 2130357.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75303121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156642 + ... + 157121.

Almost surely, 2^75303120 is an apocalyptic number.

It is an amenable number.

75303120 is an abundant number, since it is smaller than the sum of its proper divisors (158137296).

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

75303120 is a wasteful number, since it uses less digits than its factorization.

75303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313779 (or 313773 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 75303120 is about 8677.7370321991. The cubic root of 75303120 is about 422.2837052150.

Adding to 75303120 its reverse (2130357), we get a palindrome (77433477).

The spelling of 75303120 in words is "seventy-five million, three hundred three thousand, one hundred twenty".