72055748201 has 2 divisors, whose sum is σ = 72055748202. Its totient is φ = 72055748200.

The previous prime is 72055748197. The next prime is 72055748239. The reversal of 72055748201 is 10284755027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37589454400 + 34466293801 = 193880^2 + 185651^2 .

It is an emirp because it is prime and its reverse (10284755027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72055748201 - 2² = 72055748197 is a prime.

It is not a weakly prime, because it can be changed into another prime (72055748291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36027874100 + 36027874101.

It is an arithmetic number, because the mean of its divisors is an integer number (36027874101).

Almost surely, 2^72055748201 is an apocalyptic number.

It is an amenable number.

72055748201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72055748201 is an equidigital number, since it uses as much as digits as its factorization.

72055748201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 156800, while the sum is 41.

The spelling of 72055748201 in words is "seventy-two billion, fifty-five million, seven hundred forty-eight thousand, two hundred one".