37252 has 12 divisors (see below), whose sum is σ = 66640. Its totient is φ = 18216.

The previous prime is 37243. The next prime is 37253. The reversal of 37252 is 25273.

It is a happy number.

Its product of digits (420) is a multiple of the sum of its prime factors (210).

It is not an unprimeable number, because it can be changed into a prime (37253) by changing a digit.

37252 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 199 + ... + 337.

2³⁷²⁵² is an apocalyptic number.

It is an amenable number.

37252 is a deficient number, since it is larger than the sum of its proper divisors (29388).

37252 is a wasteful number, since it uses less digits than its factorization.

37252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its digits is 420, while the sum is 19.

The square root of 37252 is about 193.0077718642. The cubic root of 37252 is about 33.3976978585.

It can be divided in two parts, 372 and 52, that added together give a palindrome (424).

The spelling of 37252 in words is "thirty-seven thousand, two hundred fifty-two".