37152072361 has 2 divisors, whose sum is σ = 37152072362. Its totient is φ = 37152072360.

The previous prime is 37152072343. The next prime is 37152072367. The reversal of 37152072361 is 16327025173.

37152072361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27262963225 + 9889109136 = 165115^2 + 99444^2 .

It is a cyclic number.

It is not a de Polignac number, because 37152072361 - 2⁵ = 37152072329 is a prime.

It is a super-2 number, since 2×37152072361² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37152072361.

It is not a weakly prime, because it can be changed into another prime (37152072367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18576036180 + 18576036181.

It is an arithmetic number, because the mean of its divisors is an integer number (18576036181).

Almost surely, 2^37152072361 is an apocalyptic number.

It is an amenable number.

37152072361 is a deficient number, since it is larger than the sum of its proper divisors (1).

37152072361 is an equidigital number, since it uses as much as digits as its factorization.

37152072361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 37152072361 in words is "thirty-seven billion, one hundred fifty-two million, seventy-two thousand, three hundred sixty-one".