75361132 has 48 divisors (see below), whose sum is σ = 165166848. Its totient is φ = 29229120.

The previous prime is 75361129. The next prime is 75361141. The reversal of 75361132 is 23116357.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 75361132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94158 + ... + 94954.

It is an arithmetic number, because the mean of its divisors is an integer number (3440976).

Almost surely, 2^75361132 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 75361132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82583424).

75361132 is an abundant number, since it is smaller than the sum of its proper divisors (89805716).

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

75361132 is a wasteful number, since it uses less digits than its factorization.

75361132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1124 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 75361132 is about 8681.0789651978. The cubic root of 75361132 is about 422.3921169878.

Adding to 75361132 its reverse (23116357), we get a palindrome (98477489).

It can be divided in two parts, 7536 and 1132, that added together give a palindrome (8668).

The spelling of 75361132 in words is "seventy-five million, three hundred sixty-one thousand, one hundred thirty-two".