72723016570181 has 2 divisors, whose sum is σ = 72723016570182. Its totient is φ = 72723016570180.

The previous prime is 72723016570133. The next prime is 72723016570223. The reversal of 72723016570181 is 18107561032727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53018917025281 + 19704099544900 = 7281409^2 + 4438930^2 .

It is an emirp because it is prime and its reverse (18107561032727) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72723016570181 is a prime.

It is a super-2 number, since 2×72723016570181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72723016570381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36361508285090 + 36361508285091.

It is an arithmetic number, because the mean of its divisors is an integer number (36361508285091).

Almost surely, 2^{72723016570181} is an apocalyptic number.

It is an amenable number.

72723016570181 is a deficient number, since it is larger than the sum of its proper divisors (1).

72723016570181 is an equidigital number, since it uses as much as digits as its factorization.

72723016570181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 987840, while the sum is 50.

The spelling of 72723016570181 in words is "seventy-two trillion, seven hundred twenty-three billion, sixteen million, five hundred seventy thousand, one hundred eighty-one".