36108072 has 256 divisors, whose sum is σ = 135475200. Its totient is φ = 8605440.

The previous prime is 36108067. The next prime is 36108073. The reversal of 36108072 is 27080163.

36108072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36108073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216133 + ... + 216299.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 2^36108072 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 36108072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

36108072 is an abundant number, since it is smaller than the sum of its proper divisors (99367128).

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

36108072 is a wasteful number, since it uses less digits than its factorization.

36108072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 36108072 is about 6008.9992511233. Note that the first 3 decimals coincide. The cubic root of 36108072 is about 330.5228076600.

The spelling of 36108072 in words is "thirty-six million, one hundred eight thousand, seventy-two".