37008 has 30 divisors (see below), whose sum is σ = 103974. Its totient is φ = 12288.

The previous prime is 37003. The next prime is 37013. The reversal of 37008 is 80073.

It is an interprime number because it is at equal distance from previous prime (37003) and next prime (37013).

It can be written as a sum of positive squares in only one way, i.e., 36864 + 144 = 192^2 + 12^2 .

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

37008 is an undulating number in base 16.

It is a nialpdrome in base 6.

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 37008.

It is not an unprimeable number, because it can be changed into a prime (37003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16 + ... + 272.

2³⁷⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51987).

37008 is an abundant number, since it is smaller than the sum of its proper divisors (66966).

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

37008 is a wasteful number, since it uses less digits than its factorization.

37008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 37008 is about 192.3746345026. The cubic root of 37008 is about 33.3246199447.

The spelling of 37008 in words is "thirty-seven thousand, eight".