37072051682717 has 2 divisors, whose sum is σ = 37072051682718. Its totient is φ = 37072051682716.

The previous prime is 37072051682693. The next prime is 37072051682741. The reversal of 37072051682717 is 71728615027073.

It is a balanced prime because it is at equal distance from previous prime (37072051682693) and next prime (37072051682741).

It can be written as a sum of positive squares in only one way, i.e., 23481835789636 + 13590215893081 = 4845806^2 + 3686491^2 .

It is a cyclic number.

It is not a de Polignac number, because 37072051682717 - 2¹² = 37072051678621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37072051652717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18536025841358 + 18536025841359.

It is an arithmetic number, because the mean of its divisors is an integer number (18536025841359).

Almost surely, 2^{37072051682717} is an apocalyptic number.

It is an amenable number.

37072051682717 is a deficient number, since it is larger than the sum of its proper divisors (1).

37072051682717 is an equidigital number, since it uses as much as digits as its factorization.

37072051682717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6914880, while the sum is 56.

The spelling of 37072051682717 in words is "thirty-seven trillion, seventy-two billion, fifty-one million, six hundred eighty-two thousand, seven hundred seventeen".