72006612320241 has 81 divisors (see below), whose sum is σ = 107468764130091. Its totient is φ = 46458845068896.

The previous prime is 72006612320179. The next prime is 72006612320243. The reversal of 72006612320241 is 14202321660027.

The square root of 72006612320241 is 8485671.

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

72006612320241 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 6 + 612 + 32 + 0 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51909359184225 + 20097253136016 = 7204815^2 + 4482996^2 .

It is not a de Polignac number, because 72006612320241 - 2²⁷ = 72006478102513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72006612320196 and 72006612320205.

It is not an unprimeable number, because it can be changed into a prime (72006612320243) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 111985399866 + ... + 111985400508.

Almost surely, 2^{72006612320241} is an apocalyptic number.

72006612320241 is the 8485671-st square number.

72006612320241 is the 4242836-th centered octagonal number.

It is an amenable number.

72006612320241 is a deficient number, since it is larger than the sum of its proper divisors (35462151809850).

72006612320241 is an frugal number, since it uses more digits than its factorization.

72006612320241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 72006612320241 its reverse (14202321660027), we get a palindrome (86208933980268).

The spelling of 72006612320241 in words is "seventy-two trillion, six billion, six hundred twelve million, three hundred twenty thousand, two hundred forty-one".