37532 has 12 divisors (see below), whose sum is σ = 71736. Its totient is φ = 17040.

The previous prime is 37529. The next prime is 37537. The reversal of 37532 is 23573.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 8.

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 37532.

It is not an unprimeable number, because it can be changed into a prime (37537) 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, 383 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (5978).

2³⁷⁵³² is an apocalyptic number.

It is an amenable number.

37532 is a deficient number, since it is larger than the sum of its proper divisors (34204).

37532 is a wasteful number, since it uses less digits than its factorization.

37532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 866 counting only the distinct ones).

The product of its digits is 630, while the sum is 20.

The square root of 37532 is about 193.7317733362. The cubic root of 37532 is about 33.4811656214.

The spelling of 37532 in words is "thirty-seven thousand, five hundred thirty-two".