37120 has 36 divisors (see below), whose sum is σ = 91980. Its totient is φ = 14336.

The previous prime is 37117. The next prime is 37123. The reversal of 37120 is 2173.

37120 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (37117) and next prime (37123).

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 20736 = 128^2 + 144^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 37120.

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 37120.

It is not an unprimeable number, because it can be changed into a prime (37123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1266 + ... + 1294.

It is an arithmetic number, because the mean of its divisors is an integer number (2555).

2³⁷¹²⁰ 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 37120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45990).

37120 is an abundant number, since it is smaller than the sum of its proper divisors (54860).

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

37120 is an equidigital number, since it uses as much as digits as its factorization.

37120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 37120 is about 192.6655132607. The cubic root of 37120 is about 33.3582036616.

Adding to 37120 its reverse (2173), we get a palindrome (39293).

The spelling of 37120 in words is "thirty-seven thousand, one hundred twenty".