37728401 has 2 divisors, whose sum is σ = 37728402. Its totient is φ = 37728400.

The previous prime is 37728347. The next prime is 37728403. The reversal of 37728401 is 10482773.

It is a happy number.

37728401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35700625 + 2027776 = 5975^2 + 1424^2 .

It is a cyclic number.

It is not a de Polignac number, because 37728401 - 2⁶ = 37728337 is a prime.

It is a Sophie Germain prime.

Together with 37728403, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (37728403) 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 as a sum of consecutive naturals, namely, 18864200 + 18864201.

It is an arithmetic number, because the mean of its divisors is an integer number (18864201).

Almost surely, 2^37728401 is an apocalyptic number.

It is an amenable number.

37728401 is a deficient number, since it is larger than the sum of its proper divisors (1).

37728401 is an equidigital number, since it uses as much as digits as its factorization.

37728401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 37728401 is about 6142.3449105370. The cubic root of 37728401 is about 335.3946518444.

The spelling of 37728401 in words is "thirty-seven million, seven hundred twenty-eight thousand, four hundred one".