37224 has 48 divisors (see below), whose sum is σ = 112320. Its totient is φ = 11040.

The previous prime is 37223. The next prime is 37243. The reversal of 37224 is 42273.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3² + 7³ + 2³ + 2¹⁵ + 4⁶ .

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 37197 and 37206.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 769 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

2³⁷²²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160).

37224 is an abundant number, since it is smaller than the sum of its proper divisors (75096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37224 is a wasteful number, since it uses less digits than its factorization.

37224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 63 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 37224 is about 192.9352222898. The cubic root of 37224 is about 33.3893281071.

Adding to 37224 its reverse (42273), we get a palindrome (79497).

It can be divided in two parts, 3 and 7224, that added together give a palindrome (7227).

The spelling of 37224 in words is "thirty-seven thousand, two hundred twenty-four".