72096622486729 has 27 divisors (see below), whose sum is σ = 78258616281543. Its totient is φ = 66405658216128.

The previous prime is 72096622486723. The next prime is 72096622486751. The reversal of 72096622486729 is 92768422669027.

It is a happy number.

The square root of 72096622486729 is 8490973.

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

It can be written as a sum of positive squares in only one way, i.e., 56130588441225 + 15966034045504 = 7492035^2 + 3995752^2 .

It is not a de Polignac number, because 72096622486729 - 2³⁵ = 72062262748361 is a prime.

It is a super-2 number, since 2×72096622486729² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72096622486723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6784282114 + ... + 6784292740.

Almost surely, 2^{72096622486729} is an apocalyptic number.

72096622486729 is the 8490973-rd square number.

72096622486729 is the 4245487-th centered octagonal number.

It is an amenable number.

72096622486729 is a deficient number, since it is larger than the sum of its proper divisors (6161993794814).

72096622486729 is an frugal number, since it uses more digits than its factorization.

72096622486729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21382 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 70.

The spelling of 72096622486729 in words is "seventy-two trillion, ninety-six billion, six hundred twenty-two million, four hundred eighty-six thousand, seven hundred twenty-nine".