37052 has 12 divisors (see below), whose sum is σ = 66360. Its totient is φ = 18096.

The previous prime is 37049. The next prime is 37057. The reversal of 37052 is 25073.

It is a self number, because there is not a number n which added to its sum of digits gives 37052.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37052.

It is not an unprimeable number, because it can be changed into a prime (37057) by changing a digit.

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, 158 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (5530).

2³⁷⁰⁵² is an apocalyptic number.

It is an amenable number.

37052 is a deficient number, since it is larger than the sum of its proper divisors (29308).

37052 is a wasteful number, since it uses less digits than its factorization.

37052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 37052 is about 192.4889607224. The cubic root of 37052 is about 33.3378216179.

The spelling of 37052 in words is "thirty-seven thousand, fifty-two".