75036 has 36 divisors (see below), whose sum is σ = 194712. Its totient is φ = 22464.

The previous prime is 75029. The next prime is 75037. The reversal of 75036 is 63057.

75036 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75037) by changing a digit.

75036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 2010 + ... + 2046.

2⁷⁵⁰³⁶ 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 75036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97356).

75036 is an abundant number, since it is smaller than the sum of its proper divisors (119676).

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

75036 is a wasteful number, since it uses less digits than its factorization.

75036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 75036 is about 273.9269975742. The cubic root of 75036 is about 42.1783796471.

Adding to 75036 its sum of digits (21), we get a palindrome (75057).

It can be divided in two parts, 750 and 36, that multiplied together give a cube (27000 = 30³).

The spelling of 75036 in words is "seventy-five thousand, thirty-six".