75350832 has 80 divisors (see below), whose sum is σ = 203796480. Its totient is φ = 23961600.

The previous prime is 75350831. The next prime is 75350879. The reversal of 75350832 is 23805357.

It is a super-3 number, since 3×75350832³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 75350793 and 75350802.

It is not an unprimeable number, because it can be changed into a prime (75350831) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 117232 + ... + 117872.

It is an arithmetic number, because the mean of its divisors is an integer number (2547456).

Almost surely, 2^75350832 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 75350832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101898240).

75350832 is an abundant number, since it is smaller than the sum of its proper divisors (128445648).

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

75350832 is a wasteful number, since it uses less digits than its factorization.

75350832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 75350832 is about 8680.4857006967. The cubic root of 75350832 is about 422.3728725979.

The spelling of 75350832 in words is "seventy-five million, three hundred fifty thousand, eight hundred thirty-two".