72200723236673 has 2 divisors, whose sum is σ = 72200723236674. Its totient is φ = 72200723236672.

The previous prime is 72200723236531. The next prime is 72200723236709. The reversal of 72200723236673 is 37663232700227.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64223442686209 + 7977280550464 = 8013953^2 + 2824408^2 .

It is a cyclic number.

It is not a de Polignac number, because 72200723236673 - 2³⁰ = 72199649494849 is a prime.

It is not a weakly prime, because it can be changed into another prime (72200723236973) 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, 36100361618336 + 36100361618337.

It is an arithmetic number, because the mean of its divisors is an integer number (36100361618337).

Almost surely, 2^{72200723236673} is an apocalyptic number.

It is an amenable number.

72200723236673 is a deficient number, since it is larger than the sum of its proper divisors (1).

72200723236673 is an equidigital number, since it uses as much as digits as its factorization.

72200723236673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5334336, while the sum is 50.

The spelling of 72200723236673 in words is "seventy-two trillion, two hundred billion, seven hundred twenty-three million, two hundred thirty-six thousand, six hundred seventy-three".