72124951854581 has 2 divisors, whose sum is σ = 72124951854582. Its totient is φ = 72124951854580.

The previous prime is 72124951854517. The next prime is 72124951854587. The reversal of 72124951854581 is 18545815942127.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45338540892100 + 26786410962481 = 6733390^2 + 5175559^2 .

It is a cyclic number.

It is not a de Polignac number, because 72124951854581 - 2⁶ = 72124951854517 is a prime.

It is a super-2 number, since 2×72124951854581² (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 (72124951854587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36062475927290 + 36062475927291.

It is an arithmetic number, because the mean of its divisors is an integer number (36062475927291).

Almost surely, 2^{72124951854581} is an apocalyptic number.

It is an amenable number.

72124951854581 is a deficient number, since it is larger than the sum of its proper divisors (1).

72124951854581 is an equidigital number, since it uses as much as digits as its factorization.

72124951854581 is an evil number, because the sum of its binary digits is even.

The product of its digits is 32256000, while the sum is 62.

The spelling of 72124951854581 in words is "seventy-two trillion, one hundred twenty-four billion, nine hundred fifty-one million, eight hundred fifty-four thousand, five hundred eighty-one".