37728001 has 2 divisors, whose sum is σ = 37728002. Its totient is φ = 37728000.

The previous prime is 37727983. The next prime is 37728011. The reversal of 37728001 is 10082773.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37271025 + 456976 = 6105^2 + 676^2 .

It is a cyclic number.

It is not a de Polignac number, because 37728001 - 2⁵ = 37727969 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (37728011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18864000 + 18864001.

It is an arithmetic number, because the mean of its divisors is an integer number (18864001).

Almost surely, 2^37728001 is an apocalyptic number.

It is an amenable number.

37728001 is a deficient number, since it is larger than the sum of its proper divisors (1).

37728001 is an equidigital number, since it uses as much as digits as its factorization.

37728001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 37728001 is about 6142.3123495960. The cubic root of 37728001 is about 335.3934665451.

The spelling of 37728001 in words is "thirty-seven million, seven hundred twenty-eight thousand, one".