72653640049 has 2 divisors, whose sum is σ = 72653640050. Its totient is φ = 72653640048.

The previous prime is 72653640013. The next prime is 72653640053. The reversal of 72653640049 is 94004635627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66254760000 + 6398880049 = 257400^2 + 79993^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72653640049 is a prime.

It is a super-3 number, since 3×72653640049³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72653639990 and 72653640008.

It is not a weakly prime, because it can be changed into another prime (72653646049) 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 as a sum of consecutive naturals, namely, 36326820024 + 36326820025.

It is an arithmetic number, because the mean of its divisors is an integer number (36326820025).

Almost surely, 2^72653640049 is an apocalyptic number.

It is an amenable number.

72653640049 is a deficient number, since it is larger than the sum of its proper divisors (1).

72653640049 is an equidigital number, since it uses as much as digits as its factorization.

72653640049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 72653640049 in words is "seventy-two billion, six hundred fifty-three million, six hundred forty thousand, forty-nine".