75030 has 32 divisors (see below), whose sum is σ = 187488. Its totient is φ = 19200.

The previous prime is 75029. The next prime is 75037. The reversal of 75030 is 3057.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75037) 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, 1200 + ... + 1260.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

2⁷⁵⁰³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

75030 is an abundant number, since it is smaller than the sum of its proper divisors (112458).

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

75030 is a wasteful number, since it uses less digits than its factorization.

75030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112.

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 75030 is about 273.9160455322. The cubic root of 75030 is about 42.1772554000.

Adding to 75030 its reverse (3057), we get a palindrome (78087).

It can be divided in two parts, 750 and 30, that multiplied together give a square (22500 = 150²).

The spelling of 75030 in words is "seventy-five thousand, thirty".