72479641313 has 2 divisors, whose sum is σ = 72479641314. Its totient is φ = 72479641312.

The previous prime is 72479641291. The next prime is 72479641337. The reversal of 72479641313 is 31314697427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50524699729 + 21954941584 = 224777^2 + 148172^2 .

It is a cyclic number.

It is not a de Polignac number, because 72479641313 - 2⁶ = 72479641249 is a prime.

It is a super-2 number, since 2×72479641313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72479641343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36239820656 + 36239820657.

It is an arithmetic number, because the mean of its divisors is an integer number (36239820657).

Almost surely, 2^72479641313 is an apocalyptic number.

It is an amenable number.

72479641313 is a deficient number, since it is larger than the sum of its proper divisors (1).

72479641313 is an equidigital number, since it uses as much as digits as its factorization.

72479641313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 762048, while the sum is 47.

The spelling of 72479641313 in words is "seventy-two billion, four hundred seventy-nine million, six hundred forty-one thousand, three hundred thirteen".