72314647563121 has 2 divisors, whose sum is σ = 72314647563122. Its totient is φ = 72314647563120.

The previous prime is 72314647563007. The next prime is 72314647563199. The reversal of 72314647563121 is 12136574641327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36292612192225 + 36022035370896 = 6024335^2 + 6001836^2 .

It is an emirp because it is prime and its reverse (12136574641327) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72314647563121 - 2³¹ = 72312500079473 is a prime.

It is not a weakly prime, because it can be changed into another prime (72314647563721) 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, 36157323781560 + 36157323781561.

It is an arithmetic number, because the mean of its divisors is an integer number (36157323781561).

Almost surely, 2^{72314647563121} is an apocalyptic number.

It is an amenable number.

72314647563121 is a deficient number, since it is larger than the sum of its proper divisors (1).

72314647563121 is an equidigital number, since it uses as much as digits as its factorization.

72314647563121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5080320, while the sum is 52.

The spelling of 72314647563121 in words is "seventy-two trillion, three hundred fourteen billion, six hundred forty-seven million, five hundred sixty-three thousand, one hundred twenty-one".