72006464561 has 2 divisors, whose sum is σ = 72006464562. Its totient is φ = 72006464560.

The previous prime is 72006464533. The next prime is 72006464581. The reversal of 72006464561 is 16546460027.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69719233936 + 2287230625 = 264044^2 + 47825^2 .

It is a cyclic number.

It is not a de Polignac number, because 72006464561 - 2¹⁸ = 72006202417 is a prime.

It is not a weakly prime, because it can be changed into another prime (72006464501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36003232280 + 36003232281.

It is an arithmetic number, because the mean of its divisors is an integer number (36003232281).

Almost surely, 2^72006464561 is an apocalyptic number.

It is an amenable number.

72006464561 is a deficient number, since it is larger than the sum of its proper divisors (1).

72006464561 is an equidigital number, since it uses as much as digits as its factorization.

72006464561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 72006464561 in words is "seventy-two billion, six million, four hundred sixty-four thousand, five hundred sixty-one".