37112 has 8 divisors (see below), whose sum is σ = 69600. Its totient is φ = 18552.

The previous prime is 37097. The next prime is 37117. The reversal of 37112 is 21173.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×37112³ = 153343133366784, which contains 333 as substring.

It is an Ulam number.

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 37112.

It is not an unprimeable number, because it can be changed into a prime (37117) by changing a digit.

37112 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2312 + ... + 2327.

It is an arithmetic number, because the mean of its divisors is an integer number (8700).

2³⁷¹¹² is an apocalyptic number.

It is an amenable number.

37112 is a deficient number, since it is larger than the sum of its proper divisors (32488).

37112 is a wasteful number, since it uses less digits than its factorization.

37112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645 (or 4641 counting only the distinct ones).

The product of its digits is 42, while the sum is 14.

The square root of 37112 is about 192.6447507720. The cubic root of 37112 is about 33.3558070668.

Adding to 37112 its reverse (21173), we get a palindrome (58285).

It can be divided in two parts, 371 and 12, that added together give a palindrome (383).

The spelling of 37112 in words is "thirty-seven thousand, one hundred twelve".