75530 has 32 divisors (see below), whose sum is σ = 169344. Its totient is φ = 23616.

The previous prime is 75527. The next prime is 75533. The reversal of 75530 is 3557.

It is an interprime number because it is at equal distance from previous prime (75527) and next prime (75533).

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75530.

It is not an unprimeable number, because it can be changed into a prime (75533) 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 15 ways as a sum of consecutive naturals, for example, 869 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁷⁵⁵³⁰ is an apocalyptic number.

75530 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75530 is an abundant number, since it is smaller than the sum of its proper divisors (93814).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672).

75530 is a wasteful number, since it uses less digits than its factorization.

75530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110.

The product of its (nonzero) digits is 525, while the sum is 20.

The square root of 75530 is about 274.8272184482. The cubic root of 75530 is about 42.2707378092.

The spelling of 75530 in words is "seventy-five thousand, five hundred thirty".