36117072 has 30 divisors (see below), whose sum is σ = 101078042. Its totient is φ = 12038976.

The previous prime is 36117071. The next prime is 36117083. The reversal of 36117072 is 27071163.

It can be written as a sum of positive squares in only one way, i.e., 35712576 + 404496 = 5976^2 + 636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36117071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125263 + ... + 125550.

Almost surely, 2^36117072 is an apocalyptic number.

It is an amenable number.

36117072 is an abundant number, since it is smaller than the sum of its proper divisors (64960970).

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

36117072 is a wasteful number, since it uses less digits than its factorization.

36117072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250827 (or 250818 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 36117072 is about 6009.7480812427. The cubic root of 36117072 is about 330.5502665078.

The spelling of 36117072 in words is "thirty-six million, one hundred seventeen thousand, seventy-two".