72036 has 48 divisors (see below), whose sum is σ = 201600. Its totient is φ = 22176.

The previous prime is 72031. The next prime is 72043. The reversal of 72036 is 63027.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (72031) 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, 2470 + ... + 2498.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁷²⁰³⁶ 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 72036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

72036 is an abundant number, since it is smaller than the sum of its proper divisors (129564).

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

72036 is a wasteful number, since it uses less digits than its factorization.

72036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 72036 is about 268.3952309561. The cubic root of 72036 is about 41.6086089185.

Subtracting from 72036 its reverse (63027), we obtain a palindrome (9009).

The spelling of 72036 in words is "seventy-two thousand, thirty-six".