37227728711209 has 9 divisors (see below), whose sum is σ = 39546520961637. Its totient is φ = 35037764693184.

The previous prime is 37227728711189. The next prime is 37227728711213. The reversal of 37227728711209 is 90211782772273.

It is a happy number.

The square root of 37227728711209 is 6101453.

It is a perfect power (a square), and thus also a powerful number.

37227728711209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23338899171225 + 13888829539984 = 4831035^2 + 3726772^2 .

It is not a de Polignac number, because 37227728711209 - 2¹¹ = 37227728709161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37227728711609) 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 in 8 ways as a sum of consecutive naturals, for example, 103545247 + ... + 103904155.

Almost surely, 2^{37227728711209} is an apocalyptic number.

37227728711209 is the 6101453-rd square number.

37227728711209 is the 3050727-th centered octagonal number.

It is an amenable number.

37227728711209 is a deficient number, since it is larger than the sum of its proper divisors (2318792250428).

37227728711209 is an frugal number, since it uses more digits than its factorization.

37227728711209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717852 (or 358926 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 58.

The spelling of 37227728711209 in words is "thirty-seven trillion, two hundred twenty-seven billion, seven hundred twenty-eight million, seven hundred eleven thousand, two hundred nine".