75397320 has 192 divisors, whose sum is σ = 263203200. Its totient is φ = 18662400.

The previous prime is 75397307. The next prime is 75397321. The reversal of 75397320 is 2379357.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (75397321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499245 + ... + 499395.

It is an arithmetic number, because the mean of its divisors is an integer number (1370850).

Almost surely, 2^75397320 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 75397320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131601600).

75397320 is an abundant number, since it is smaller than the sum of its proper divisors (187805880).

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

75397320 is a wasteful number, since it uses less digits than its factorization.

75397320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 75397320 is about 8683.1630181634. The cubic root of 75397320 is about 422.4597162904.

The spelling of 75397320 in words is "seventy-five million, three hundred ninety-seven thousand, three hundred twenty".