72658694742397 has 2 divisors, whose sum is σ = 72658694742398. Its totient is φ = 72658694742396.

The previous prime is 72658694742379. The next prime is 72658694742409. The reversal of 72658694742397 is 79324749685627.

Together with previous prime (72658694742379) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59381372576761 + 13277322165636 = 7705931^2 + 3643806^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72658694742397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72658694742307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36329347371198 + 36329347371199.

It is an arithmetic number, because the mean of its divisors is an integer number (36329347371199).

Almost surely, 2^{72658694742397} is an apocalyptic number.

It is an amenable number.

72658694742397 is a deficient number, since it is larger than the sum of its proper divisors (1).

72658694742397 is an equidigital number, since it uses as much as digits as its factorization.

72658694742397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7681443840, while the sum is 79.

The spelling of 72658694742397 in words is "seventy-two trillion, six hundred fifty-eight billion, six hundred ninety-four million, seven hundred forty-two thousand, three hundred ninety-seven".