125727201 has 8 divisors (see below), whose sum is σ = 186262560. Its totient is φ = 83818116.

The previous prime is 125727191. The next prime is 125727211. The reversal of 125727201 is 102727521.

It is an interprime number because it is at equal distance from previous prime (125727191) and next prime (125727211).

It is not a de Polignac number, because 125727201 - 2¹⁴ = 125710817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4656563 = 125727201 / (1 + 2 + 5 + 7 + 2 + 7 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (125727211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2328255 + ... + 2328308.

It is an arithmetic number, because the mean of its divisors is an integer number (23282820).

Almost surely, 2^125727201 is an apocalyptic number.

It is an amenable number.

125727201 is a deficient number, since it is larger than the sum of its proper divisors (60535359).

125727201 is an equidigital number, since it uses as much as digits as its factorization.

125727201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656572 (or 4656566 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 125727201 is about 11212.8141427565. The cubic root of 125727201 is about 500.9677271334.

The spelling of 125727201 in words is "one hundred twenty-five million, seven hundred twenty-seven thousand, two hundred one".