37272273313221 has 48 divisors (see below), whose sum is σ = 54548390548080. Its totient is φ = 24521316019200.

The previous prime is 37272273313193. The next prime is 37272273313229. The reversal of 37272273313221 is 12231337227273.

37272273313221 is a `hidden beast` number, since 3 + 7 + 2 + 72 + 27 + 331 + 3 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13090575248100 + 24181698065121 = 3618090^2 + 4917489^2 .

It is not a de Polignac number, because 37272273313221 - 2³⁸ = 36997395406277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37272273313229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872845171 + ... + 872887871.

It is an arithmetic number, because the mean of its divisors is an integer number (1136424803085).

Almost surely, 2^{37272273313221} is an apocalyptic number.

It is an amenable number.

37272273313221 is a deficient number, since it is larger than the sum of its proper divisors (17276117234859).

37272273313221 is a wasteful number, since it uses less digits than its factorization.

37272273313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44886 (or 44883 counting only the distinct ones).

The product of its digits is 889056, while the sum is 45.

The spelling of 37272273313221 in words is "thirty-seven trillion, two hundred seventy-two billion, two hundred seventy-three million, three hundred thirteen thousand, two hundred twenty-one".