37766125 has 16 divisors (see below), whose sum is σ = 48288240. Its totient is φ = 29472000.

The previous prime is 37766123. The next prime is 37766173. The reversal of 37766125 is 52166773.

It can be written as a sum of positive squares in 8 ways, for example, as 13293316 + 24472809 = 3646^2 + 4947^2 .

It is not a de Polignac number, because 37766125 - 2¹ = 37766123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37766123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441 + ... + 8809.

It is an arithmetic number, because the mean of its divisors is an integer number (3018015).

Almost surely, 2^37766125 is an apocalyptic number.

It is an amenable number.

37766125 is a deficient number, since it is larger than the sum of its proper divisors (10522115).

37766125 is an equidigital number, since it uses as much as digits as its factorization.

37766125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7425 (or 7415 counting only the distinct ones).

The product of its digits is 52920, while the sum is 37.

The square root of 37766125 is about 6145.4149575110. The cubic root of 37766125 is about 335.5063997837.

The spelling of 37766125 in words is "thirty-seven million, seven hundred sixty-six thousand, one hundred twenty-five".