72629745075803 has 2 divisors, whose sum is σ = 72629745075804. Its totient is φ = 72629745075802.

The previous prime is 72629745075751. The next prime is 72629745075851. The reversal of 72629745075803 is 30857054792627.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72629745075803 - 2²⁰ = 72629744027227 is a prime.

It is a super-2 number, since 2×72629745075803² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72629745075803.

It is not a weakly prime, because it can be changed into another prime (72629745075203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36314872537901 + 36314872537902.

It is an arithmetic number, because the mean of its divisors is an integer number (36314872537902).

Almost surely, 2^{72629745075803} is an apocalyptic number.

72629745075803 is a deficient number, since it is larger than the sum of its proper divisors (1).

72629745075803 is an equidigital number, since it uses as much as digits as its factorization.

72629745075803 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 177811200, while the sum is 65.

The spelling of 72629745075803 in words is "seventy-two trillion, six hundred twenty-nine billion, seven hundred forty-five million, seventy-five thousand, eight hundred three".