72745086313 has 2 divisors, whose sum is σ = 72745086314. Its totient is φ = 72745086312.

The previous prime is 72745086287. The next prime is 72745086329. The reversal of 72745086313 is 31368054727.

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., 69628432384 + 3116653929 = 263872^2 + 55827^2 .

It is a cyclic number.

It is not a de Polignac number, because 72745086313 - 2¹³ = 72745078121 is a prime.

It is not a weakly prime, because it can be changed into another prime (72745086373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36372543156 + 36372543157.

It is an arithmetic number, because the mean of its divisors is an integer number (36372543157).

Almost surely, 2^72745086313 is an apocalyptic number.

It is an amenable number.

72745086313 is a deficient number, since it is larger than the sum of its proper divisors (1).

72745086313 is an equidigital number, since it uses as much as digits as its factorization.

72745086313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 72745086313 in words is "seventy-two billion, seven hundred forty-five million, eighty-six thousand, three hundred thirteen".