42072127 has 16 divisors (see below), whose sum is σ = 46872000. Its totient is φ = 37578240.

The previous prime is 42072077. The next prime is 42072157. The reversal of 42072127 is 72127024.

It is a cyclic number.

It is not a de Polignac number, because 42072127 - 2⁷ = 42071999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42072157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29374 + ... + 30772.

It is an arithmetic number, because the mean of its divisors is an integer number (2929500).

Almost surely, 2^42072127 is an apocalyptic number.

42072127 is a deficient number, since it is larger than the sum of its proper divisors (4799873).

42072127 is a wasteful number, since it uses less digits than its factorization.

42072127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506.

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 42072127 is about 6486.3030302322. The cubic root of 42072127 is about 347.8015311489.

The spelling of 42072127 in words is "forty-two million, seventy-two thousand, one hundred twenty-seven".