75012 has 48 divisors (see below), whose sum is σ = 215040. Its totient is φ = 19872.

The previous prime is 75011. The next prime is 75013. The reversal of 75012 is 21057.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75011) and next prime (75013).

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 74982 and 75000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1573 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (4480).

2⁷⁵⁰¹² 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 75012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520).

75012 is an abundant number, since it is smaller than the sum of its proper divisors (140028).

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

75012 is a wasteful number, since it uses less digits than its factorization.

75012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 75012 is about 273.8831867786. The cubic root of 75012 is about 42.1738822989.

Adding to 75012 its reverse (21057), we get a palindrome (96069).

It can be divided in two parts, 7501 and 2, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 75012 in words is "seventy-five thousand, twelve".