36072072072 has 24 divisors (see below), whose sum is σ = 97695195390. Its totient is φ = 12024024000.

The previous prime is 36072072061. The next prime is 36072072073. The reversal of 36072072072 is 27027027063.

36072072072 is a `hidden beast` number, since 3 + 607 + 20 + 7 + 20 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31667626116 + 4404445956 = 177954^2 + 66366^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

36072072072 is a modest number, since divided by 72072 gives 36072 as remainder.

It is not an unprimeable number, because it can be changed into a prime (36072072073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250500429 + ... + 250500572.

Almost surely, 2^36072072072 is an apocalyptic number.

It is an amenable number.

36072072072 is an abundant number, since it is smaller than the sum of its proper divisors (61623123318).

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

36072072072 is a wasteful number, since it uses less digits than its factorization.

36072072072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501001013 (or 501001006 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 36072072072 in words is "thirty-six billion, seventy-two million, seventy-two thousand, seventy-two".