72658694742409 has 2 divisors, whose sum is σ = 72658694742410. Its totient is φ = 72658694742408.

The previous prime is 72658694742397. The next prime is 72658694742433. The reversal of 72658694742409 is 90424749685627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43602250240000 + 29056444502409 = 6603200^2 + 5390403^2 .

It is a cyclic number.

It is not a de Polignac number, because 72658694742409 - 2¹⁷ = 72658694611337 is a prime.

It is not a weakly prime, because it can be changed into another prime (72658694742209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36329347371204 + 36329347371205.

It is an arithmetic number, because the mean of its divisors is an integer number (36329347371205).

Almost surely, 2^{72658694742409} is an apocalyptic number.

It is an amenable number.

72658694742409 is a deficient number, since it is larger than the sum of its proper divisors (1).

72658694742409 is an equidigital number, since it uses as much as digits as its factorization.

72658694742409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1463132160, while the sum is 73.

The spelling of 72658694742409 in words is "seventy-two trillion, six hundred fifty-eight billion, six hundred ninety-four million, seven hundred forty-two thousand, four hundred nine".