72741637 has 2 divisors, whose sum is σ = 72741638. Its totient is φ = 72741636.

The previous prime is 72741601. The next prime is 72741661. The reversal of 72741637 is 73614727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44076321 + 28665316 = 6639^2 + 5354^2 .

It is an emirp because it is prime and its reverse (73614727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72741637 - 2¹⁹ = 72217349 is a prime.

It is a Chen prime.

It is equal to p_4269763 and since 72741637 and 4269763 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 72741596 and 72741605.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72741677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36370818 + 36370819.

It is an arithmetic number, because the mean of its divisors is an integer number (36370819).

Almost surely, 2^72741637 is an apocalyptic number.

It is an amenable number.

72741637 is a deficient number, since it is larger than the sum of its proper divisors (1).

72741637 is an equidigital number, since it uses as much as digits as its factorization.

72741637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49392, while the sum is 37.

The square root of 72741637 is about 8528.8707927838. The cubic root of 72741637 is about 417.4402835694.

It can be divided in two parts, 7274 and 1637, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 72741637 in words is "seventy-two million, seven hundred forty-one thousand, six hundred thirty-seven".