72124951592737 has 2 divisors, whose sum is σ = 72124951592738. Its totient is φ = 72124951592736.

The previous prime is 72124951592699. The next prime is 72124951592767. The reversal of 72124951592737 is 73729515942127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41569882295841 + 30555069296896 = 6447471^2 + 5527664^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72124951592737 is a prime.

It is a super-2 number, since 2×72124951592737² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72124951592767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36062475796368 + 36062475796369.

It is an arithmetic number, because the mean of its divisors is an integer number (36062475796369).

Almost surely, 2^{72124951592737} is an apocalyptic number.

It is an amenable number.

72124951592737 is a deficient number, since it is larger than the sum of its proper divisors (1).

72124951592737 is an equidigital number, since it uses as much as digits as its factorization.

72124951592737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 66679200, while the sum is 64.

The spelling of 72124951592737 in words is "seventy-two trillion, one hundred twenty-four billion, nine hundred fifty-one million, five hundred ninety-two thousand, seven hundred thirty-seven".