37206 has 32 divisors (see below), whose sum is σ = 90720. Its totient is φ = 11232.

The previous prime is 37201. The next prime is 37217. The reversal of 37206 is 60273.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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 37206.

It is not an unprimeable number, because it can be changed into a prime (37201) 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 15 ways as a sum of consecutive naturals, for example, 676 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2³⁷²⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

37206 is an abundant number, since it is smaller than the sum of its proper divisors (53514).

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

37206 is a wasteful number, since it uses less digits than its factorization.

37206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 37206 is about 192.8885688681. Note that the first 3 decimals coincide. The cubic root of 37206 is about 33.3839453361.

Adding to 37206 its reverse (60273), we get a palindrome (97479).

It can be divided in two parts, 37 and 206, that added together give a 5-th power (243 = 3⁵).

The spelling of 37206 in words is "thirty-seven thousand, two hundred six".