36972127 has 8 divisors (see below), whose sum is σ = 39980736. Its totient is φ = 34056192.

The previous prime is 36972121. The next prime is 36972137. The reversal of 36972127 is 72127963.

36972127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36972127 - 2¹¹ = 36970079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36972121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22338 + ... + 23935.

It is an arithmetic number, because the mean of its divisors is an integer number (4997592).

Almost surely, 2^36972127 is an apocalyptic number.

36972127 is a deficient number, since it is larger than the sum of its proper divisors (3008609).

36972127 is a wasteful number, since it uses less digits than its factorization.

36972127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46337.

The product of its digits is 31752, while the sum is 37.

The square root of 36972127 is about 6080.4709521549. The cubic root of 36972127 is about 333.1384893519.

The spelling of 36972127 in words is "thirty-six million, nine hundred seventy-two thousand, one hundred twenty-seven".