72657314729 has 2 divisors, whose sum is σ = 72657314730. Its totient is φ = 72657314728.

The previous prime is 72657314687. The next prime is 72657314767. The reversal of 72657314729 is 92741375627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46517862400 + 26139452329 = 215680^2 + 161677^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72657314729 is a prime.

It is not a weakly prime, because it can be changed into another prime (72657314329) 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, 36328657364 + 36328657365.

It is an arithmetic number, because the mean of its divisors is an integer number (36328657365).

Almost surely, 2^72657314729 is an apocalyptic number.

It is an amenable number.

72657314729 is a deficient number, since it is larger than the sum of its proper divisors (1).

72657314729 is an equidigital number, since it uses as much as digits as its factorization.

72657314729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4445280, while the sum is 53.

The spelling of 72657314729 in words is "seventy-two billion, six hundred fifty-seven million, three hundred fourteen thousand, seven hundred twenty-nine".