37872713 has 2 divisors, whose sum is σ = 37872714. Its totient is φ = 37872712.

The previous prime is 37872683. The next prime is 37872721. The reversal of 37872713 is 31727873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19784704 + 18088009 = 4448^2 + 4253^2 .

It is an emirp because it is prime and its reverse (31727873) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37872713 - 2⁶ = 37872649 is a prime.

It is not a weakly prime, because it can be changed into another prime (37872733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18936356 + 18936357.

It is an arithmetic number, because the mean of its divisors is an integer number (18936357).

Almost surely, 2^37872713 is an apocalyptic number.

It is an amenable number.

37872713 is a deficient number, since it is larger than the sum of its proper divisors (1).

37872713 is an equidigital number, since it uses as much as digits as its factorization.

37872713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 49392, while the sum is 38.

The square root of 37872713 is about 6154.0810036918. The cubic root of 37872713 is about 335.8217385154.

The spelling of 37872713 in words is "thirty-seven million, eight hundred seventy-two thousand, seven hundred thirteen".