37266 has 8 divisors (see below), whose sum is σ = 74544. Its totient is φ = 12420.

The previous prime is 37253. The next prime is 37273. The reversal of 37266 is 66273.

It is a sphenic number, since it is the product of 3 distinct primes.

37266 is an admirable number.

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37266.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3100 + ... + 3111.

It is an arithmetic number, because the mean of its divisors is an integer number (9318).

2³⁷²⁶⁶ is an apocalyptic number.

37266 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (37272).

37266 is a wasteful number, since it uses less digits than its factorization.

37266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216.

The product of its digits is 1512, while the sum is 24.

The square root of 37266 is about 193.0440364269. The cubic root of 37266 is about 33.4018811615.

It can be divided in two parts, 37 and 266, that added together give a palindrome (303).

The spelling of 37266 in words is "thirty-seven thousand, two hundred sixty-six".