75333132 has 96 divisors (see below), whose sum is σ = 224663040. Its totient is φ = 21384000.

The previous prime is 75333127. The next prime is 75333133. The reversal of 75333132 is 23133357.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 75333096 and 75333105.

It is not an unprimeable number, because it can be changed into a prime (75333133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189558 + ... + 189954.

It is an arithmetic number, because the mean of its divisors is an integer number (2340240).

Almost surely, 2^75333132 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 75333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112331520).

75333132 is an abundant number, since it is smaller than the sum of its proper divisors (149329908).

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

75333132 is a wasteful number, since it uses less digits than its factorization.

75333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its digits is 5670, while the sum is 27.

The square root of 75333132 is about 8679.4661126131. The cubic root of 75333132 is about 422.3397980447.

Adding to 75333132 its reverse (23133357), we get a palindrome (98466489).

The spelling of 75333132 in words is "seventy-five million, three hundred thirty-three thousand, one hundred thirty-two".