37080 has 48 divisors (see below), whose sum is σ = 121680. Its totient is φ = 9792.

The previous prime is 37061. The next prime is 37087. The reversal of 37080 is 8073.

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

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 37080.

It is not an unprimeable number, because it can be changed into a prime (37087) by changing a digit.

37080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (2535).

2³⁷⁰⁸⁰ is an apocalyptic number.

37080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60840).

37080 is an abundant number, since it is smaller than the sum of its proper divisors (84600).

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

37080 is a wasteful number, since it uses less digits than its factorization.

37080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

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

The square root of 37080 is about 192.5616784306. The cubic root of 37080 is about 33.3462172417.

The spelling of 37080 in words is "thirty-seven thousand, eighty".