75636128 has 48 divisors (see below), whose sum is σ = 158574024. Its totient is φ = 35389440.

The previous prime is 75636109. The next prime is 75636139. The reversal of 75636128 is 82163657.

It can be written as a sum of positive squares in 4 ways, for example, as 75550864 + 85264 = 8692^2 + 292^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75636091 and 75636100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139538 + ... + 140078.

Almost surely, 2^75636128 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 75636128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79287012).

75636128 is an abundant number, since it is smaller than the sum of its proper divisors (82937896).

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

75636128 is a wasteful number, since it uses less digits than its factorization.

75636128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 817 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 75636128 is about 8696.9033569426. The cubic root of 75636128 is about 422.9052689668.

The spelling of 75636128 in words is "seventy-five million, six hundred thirty-six thousand, one hundred twenty-eight".