72607589361 has 12 divisors (see below), whose sum is σ = 105335612980. Its totient is φ = 48193682400.

The previous prime is 72607589281. The next prime is 72607589363. The reversal of 72607589361 is 16398570627.

72607589361 is a `hidden beast` number, since 7 + 26 + 0 + 7 + 589 + 36 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34993314225 + 37614275136 = 187065^2 + 193944^2 .

It is not a de Polignac number, because 72607589361 - 2¹⁰ = 72607588337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72607589298 and 72607589307.

It is not an unprimeable number, because it can be changed into a prime (72607589363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17612590 + ... + 17616711.

Almost surely, 2^72607589361 is an apocalyptic number.

It is an amenable number.

72607589361 is a deficient number, since it is larger than the sum of its proper divisors (32728023619).

72607589361 is a wasteful number, since it uses less digits than its factorization.

72607589361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35229536 (or 35229533 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 72607589361 in words is "seventy-two billion, six hundred seven million, five hundred eighty-nine thousand, three hundred sixty-one".