75320 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 25728.

The previous prime is 75307. The next prime is 75323. The reversal of 75320 is 2357.

It is an Ulam number.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75320.

It is not an unprimeable number, because it can be changed into a prime (75323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁷⁵³²⁰ is an apocalyptic number.

75320 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 75320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

75320 is an abundant number, since it is smaller than the sum of its proper divisors (119080).

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

75320 is a wasteful number, since it uses less digits than its factorization.

75320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 75320 is about 274.4448942866. Note that the first 3 decimals coincide. The cubic root of 75320 is about 42.2315255994.

Adding to 75320 its reverse (2357), we get a palindrome (77677).

The spelling of 75320 in words is "seventy-five thousand, three hundred twenty".