75327732 has 60 divisors (see below), whose sum is σ = 203737380. Its totient is φ = 24240384.

The previous prime is 75327727. The next prime is 75327739. The reversal of 75327732 is 23772357.

It can be written as a sum of positive squares in 2 ways, for example, as 41525136 + 33802596 = 6444^2 + 5814^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75327739) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5388 + ... + 13404.

It is an arithmetic number, because the mean of its divisors is an integer number (3395623).

Almost surely, 2^75327732 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 75327732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101868690).

75327732 is an abundant number, since it is smaller than the sum of its proper divisors (128409648).

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

75327732 is a wasteful number, since it uses less digits than its factorization.

75327732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8062 (or 8051 counting only the distinct ones).

The product of its digits is 61740, while the sum is 36.

The square root of 75327732 is about 8679.1550279967. The cubic root of 75327732 is about 422.3297064717.

The spelling of 75327732 in words is "seventy-five million, three hundred twenty-seven thousand, seven hundred thirty-two".