75302028 has 48 divisors (see below), whose sum is σ = 196059360. Its totient is φ = 24993792.

The previous prime is 75302011. The next prime is 75302041. The reversal of 75302028 is 82020357.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 75301992 and 75302010.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26400 + ... + 29112.

It is an arithmetic number, because the mean of its divisors is an integer number (4084570).

Almost surely, 2^75302028 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 75302028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98029680).

75302028 is an abundant number, since it is smaller than the sum of its proper divisors (120757332).

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

75302028 is a wasteful number, since it uses less digits than its factorization.

75302028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75302028 is about 8677.6741123414. The cubic root of 75302028 is about 422.2816639714.

It can be divided in two parts, 7 and 5302028, that added together give a palindrome (5302035).

The spelling of 75302028 in words is "seventy-five million, three hundred two thousand, twenty-eight".