36072666 has 48 divisors (see below), whose sum is σ = 90677184. Its totient is φ = 10150272.

The previous prime is 36072653. The next prime is 36072667. The reversal of 36072666 is 66627063.

36072666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36072666.

It is not an unprimeable number, because it can be changed into a prime (36072667) 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 23 ways as a sum of consecutive naturals, for example, 6306 + ... + 10578.

It is an arithmetic number, because the mean of its divisors is an integer number (1889108).

Almost surely, 2^36072666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36072666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45338592).

36072666 is an abundant number, since it is smaller than the sum of its proper divisors (54604518).

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

36072666 is a wasteful number, since it uses less digits than its factorization.

36072666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 36072666 is about 6006.0524473234. The cubic root of 36072666 is about 330.4147402488.

The spelling of 36072666 in words is "thirty-six million, seventy-two thousand, six hundred sixty-six".