72673325207081 has 2 divisors, whose sum is σ = 72673325207082. Its totient is φ = 72673325207080.

The previous prime is 72673325207059. The next prime is 72673325207267. The reversal of 72673325207081 is 18070252337627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50953670817856 + 21719654389225 = 7138184^2 + 4660435^2 .

It is a cyclic number.

It is not a de Polignac number, because 72673325207081 - 2⁶ = 72673325207017 is a prime.

It is a super-4 number, since 4×72673325207081⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (72673325203081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36336662603540 + 36336662603541.

It is an arithmetic number, because the mean of its divisors is an integer number (36336662603541).

Almost surely, 2^{72673325207081} is an apocalyptic number.

It is an amenable number.

72673325207081 is a deficient number, since it is larger than the sum of its proper divisors (1).

72673325207081 is an equidigital number, since it uses as much as digits as its factorization.

72673325207081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5927040, while the sum is 53.

The spelling of 72673325207081 in words is "seventy-two trillion, six hundred seventy-three billion, three hundred twenty-five million, two hundred seven thousand, eighty-one".