72672197281 has 2 divisors, whose sum is σ = 72672197282. Its totient is φ = 72672197280.

The previous prime is 72672197233. The next prime is 72672197293. The reversal of 72672197281 is 18279127627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65643051681 + 7029145600 = 256209^2 + 83840^2 .

It is a cyclic number.

It is not a de Polignac number, because 72672197281 - 2⁹ = 72672196769 is a prime.

It is a super-2 number, since 2×72672197281² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72672197681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36336098640 + 36336098641.

It is an arithmetic number, because the mean of its divisors is an integer number (36336098641).

Almost surely, 2^72672197281 is an apocalyptic number.

It is an amenable number.

72672197281 is a deficient number, since it is larger than the sum of its proper divisors (1).

72672197281 is an equidigital number, since it uses as much as digits as its factorization.

72672197281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1185408, while the sum is 52.

The spelling of 72672197281 in words is "seventy-two billion, six hundred seventy-two million, one hundred ninety-seven thousand, two hundred eighty-one".