75085632 has 84 divisors (see below), whose sum is σ = 218849956. Its totient is φ = 24606720.

The previous prime is 75085613. The next prime is 75085643. The reversal of 75085632 is 23658057.

It can be written as a sum of positive squares in 2 ways, for example, as 2903616 + 72182016 = 1704^2 + 8496^2 .

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

It is a congruent number.

It is an unprimeable number.

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, 34068 + ... + 36204.

Almost surely, 2^75085632 is an apocalyptic number.

75085632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109424978).

75085632 is an abundant number, since it is smaller than the sum of its proper divisors (143764324).

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

75085632 is a wasteful number, since it uses less digits than its factorization.

75085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 75085632 is about 8665.1965932690. The cubic root of 75085632 is about 421.8767712189.

The spelling of 75085632 in words is "seventy-five million, eighty-five thousand, six hundred thirty-two".