36072166284 has 144 divisors (see below), whose sum is σ = 116326129920. Its totient is φ = 9151470720.

The previous prime is 36072166267. The next prime is 36072166289. The reversal of 36072166284 is 48266127063.

36072166284 is a `hidden beast` number, since 3 + 6 + 0 + 7 + 2 + 16 + 628 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (36072166289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32119 + ... + 270510.

Almost surely, 2^36072166284 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 36072166284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58163064960).

36072166284 is an abundant number, since it is smaller than the sum of its proper divisors (80253963636).

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

36072166284 is a wasteful number, since it uses less digits than its factorization.

36072166284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302700 (or 302695 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 36072166284 in words is "thirty-six billion, seventy-two million, one hundred sixty-six thousand, two hundred eighty-four".