75838632 has 64 divisors (see below), whose sum is σ = 201787200. Its totient is φ = 23669760.

The previous prime is 75838619. The next prime is 75838663. The reversal of 75838632 is 23683857.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109407 + ... + 110097.

It is an arithmetic number, because the mean of its divisors is an integer number (3152925).

Almost surely, 2^75838632 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 75838632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100893600).

75838632 is an abundant number, since it is smaller than the sum of its proper divisors (125948568).

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

75838632 is a wasteful number, since it uses less digits than its factorization.

75838632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 982 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 75838632 is about 8708.5378795754. The cubic root of 75838632 is about 423.2823537236.

The spelling of 75838632 in words is "seventy-five million, eight hundred thirty-eight thousand, six hundred thirty-two".