37228 has 12 divisors (see below), whose sum is σ = 67032. Its totient is φ = 18080.

The previous prime is 37223. The next prime is 37243. The reversal of 37228 is 82273.

It is a happy number.

It is a d-powerful number, because it can be written as 3 + 7⁴ + 2¹¹ + 2¹⁵ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 37199 and 37208.

It is not an unprimeable number, because it can be changed into a prime (37223) by changing a digit.

37228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51 + ... + 277.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2³⁷²²⁸ is an apocalyptic number.

It is an amenable number.

37228 is a deficient number, since it is larger than the sum of its proper divisors (29804).

37228 is a wasteful number, since it uses less digits than its factorization.

37228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 37228 is about 192.9455881849. The cubic root of 37228 is about 33.3905240428.

It can be divided in two parts, 372 and 28, that added together give a square (400 = 20²).

The spelling of 37228 in words is "thirty-seven thousand, two hundred twenty-eight".