72029984737 has 2 divisors, whose sum is σ = 72029984738. Its totient is φ = 72029984736.

The previous prime is 72029984723. The next prime is 72029984753. The reversal of 72029984737 is 73748992027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71080358881 + 949625856 = 266609^2 + 30816^2 .

It is an emirp because it is prime and its reverse (73748992027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72029984737 - 2¹⁵ = 72029951969 is a prime.

It is not a weakly prime, because it can be changed into another prime (72029984837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36014992368 + 36014992369.

It is an arithmetic number, because the mean of its divisors is an integer number (36014992369).

Almost surely, 2^72029984737 is an apocalyptic number.

It is an amenable number.

72029984737 is a deficient number, since it is larger than the sum of its proper divisors (1).

72029984737 is an equidigital number, since it uses as much as digits as its factorization.

72029984737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10668672, while the sum is 58.

The spelling of 72029984737 in words is "seventy-two billion, twenty-nine million, nine hundred eighty-four thousand, seven hundred thirty-seven".