37068 has 12 divisors (see below), whose sum is σ = 86520. Its totient is φ = 12352.

The previous prime is 37061. The next prime is 37087. The reversal of 37068 is 86073.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37068.

It is not an unprimeable number, because it can be changed into a prime (37061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1533 + ... + 1556.

It is an arithmetic number, because the mean of its divisors is an integer number (7210).

2³⁷⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

37068 is an abundant number, since it is smaller than the sum of its proper divisors (49452).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43260).

37068 is a wasteful number, since it uses less digits than its factorization.

37068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 37068 is about 192.5305170616. The cubic root of 37068 is about 33.3426196349.

The spelling of 37068 in words is "thirty-seven thousand, sixty-eight".