37506 has 32 divisors (see below), whose sum is σ = 92160. Its totient is φ = 9936.

The previous prime is 37501. The next prime is 37507. The reversal of 37506 is 60573.

37506 = T₁₀₀ + T₁₀₁ + ... + T₁₀₆.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a nialpdrome in base 14.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37506.

It is not an unprimeable number, because it can be changed into a prime (37501) 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 15 ways as a sum of consecutive naturals, for example, 775 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

2³⁷⁵⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080).

37506 is an abundant number, since it is smaller than the sum of its proper divisors (54654).

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

37506 is a wasteful number, since it uses less digits than its factorization.

37506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 37506 is about 193.6646586241. The cubic root of 37506 is about 33.4734325634.

It can be divided in two parts, 3750 and 6, that multiplied together give a square (22500 = 150²).

The spelling of 37506 in words is "thirty-seven thousand, five hundred six".