37125 has 32 divisors (see below), whose sum is σ = 74880. Its totient is φ = 18000.

The previous prime is 37123. The next prime is 37139. The reversal of 37125 is 52173.

It is not a de Polignac number, because 37125 - 2¹ = 37123 is a prime.

It is a super-3 number, since 3×37125³ = 153504333984375, which contains 333 as substring.

Its product of digits (210) is a multiple of the sum of its prime factors (35).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 37098 and 37107.

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 37125.

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 (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3370 + ... + 3380.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

2³⁷¹²⁵ is an apocalyptic number.

It is an amenable number.

37125 is an abundant number, since it is smaller than the sum of its proper divisors (37755).

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 (37440).

37125 is a wasteful number, since it uses less digits than its factorization.

37125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 19 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 37125 is about 192.6784886800. The cubic root of 37125 is about 33.3597013585.

Adding to 37125 its reverse (52173), we get a palindrome (89298).

The spelling of 37125 in words is "thirty-seven thousand, one hundred twenty-five".