75304320 has 256 divisors, whose sum is σ = 296110080. Its totient is φ = 15851520.

The previous prime is 75304303. The next prime is 75304321. The reversal of 75304320 is 2340357.

It is a super-2 number, since 2×75304320² = 11341481221324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75304321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174505 + ... + 174935.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 2^75304320 is an apocalyptic number.

75304320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

75304320 is an abundant number, since it is smaller than the sum of its proper divisors (220805760).

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

75304320 is a wasteful number, since it uses less digits than its factorization.

75304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 75304320 is about 8677.8061743738. The cubic root of 75304320 is about 422.2859483171.

Adding to 75304320 its reverse (2340357), we get a palindrome (77644677).

The spelling of 75304320 in words is "seventy-five million, three hundred four thousand, three hundred twenty".