36072265329 has 45 divisors (see below), whose sum is σ = 55179521947. Its totient is φ = 23484093696.

The previous prime is 36072265319. The next prime is 36072265343. The reversal of 36072265329 is 92356227063.

The square root of 36072265329 is 189927.

It is a perfect power (a square), and thus also a powerful number.

36072265329 is a `hidden beast` number, since 3 + 60 + 7 + 2 + 265 + 329 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22044231729 + 14028033600 = 148473^2 + 118440^2 .

It is a de Polignac number, because none of the positive numbers 2^k-36072265329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36072265319) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 80338897 + ... + 80339345.

Almost surely, 2^36072265329 is an apocalyptic number.

36072265329 is the 189927-th square number.

36072265329 is the 94964-th centered octagonal number.

It is an amenable number.

36072265329 is a deficient number, since it is larger than the sum of its proper divisors (19107256618).

36072265329 is an frugal number, since it uses more digits than its factorization.

36072265329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

It can be divided in two parts, 36072 and 265329, that added together give a square (301401 = 549²).

The spelling of 36072265329 in words is "thirty-six billion, seventy-two million, two hundred sixty-five thousand, three hundred twenty-nine".