75328920 has 128 divisors (see below), whose sum is σ = 264384000. Its totient is φ = 19025280.

The previous prime is 75328909. The next prime is 75328927. The reversal of 75328920 is 2982357.

It is a happy number.

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 (75328927) 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, 18685 + ... + 22355.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2^75328920 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 75328920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

75328920 is an abundant number, since it is smaller than the sum of its proper divisors (189055080).

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

75328920 is a wasteful number, since it uses less digits than its factorization.

75328920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75328920 is about 8679.2234675690. The cubic root of 75328920 is about 422.3319266591.

The spelling of 75328920 in words is "seventy-five million, three hundred twenty-eight thousand, nine hundred twenty".