37312 has 28 divisors (see below), whose sum is σ = 82296. Its totient is φ = 16640.

The previous prime is 37309. The next prime is 37313. The reversal of 37312 is 21373.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 14.

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 37312.

It is not an unprimeable number, because it can be changed into a prime (37313) by changing a digit.

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, 678 + ... + 730.

2³⁷³¹² is an apocalyptic number.

37312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41148).

37312 is an abundant number, since it is smaller than the sum of its proper divisors (44984).

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

37312 is a wasteful number, since it uses less digits than its factorization.

37312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its digits is 126, while the sum is 16.

The square root of 37312 is about 193.1631434824. The cubic root of 37312 is about 33.4156189275.

37312 divided by its sum of digits (16) gives a palindrome (2332).

Adding to 37312 its reverse (21373), we get a palindrome (58685).

The spelling of 37312 in words is "thirty-seven thousand, three hundred twelve".