37725 has 12 divisors (see below), whose sum is σ = 62496. Its totient is φ = 20080.

The previous prime is 37717. The next prime is 37747. The reversal of 37725 is 52773.

It is not a de Polignac number, because 37725 - 2³ = 37717 is a prime.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 37695 and 37704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2³⁷⁷²⁵ is an apocalyptic number.

It is an amenable number.

37725 is a deficient number, since it is larger than the sum of its proper divisors (24771).

37725 is a wasteful number, since it uses less digits than its factorization.

37725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 511 counting only the distinct ones).

The product of its digits is 1470, while the sum is 24.

The square root of 37725 is about 194.2292459956. The cubic root of 37725 is about 33.5384573570.

The spelling of 37725 in words is "thirty-seven thousand, seven hundred twenty-five".