42072163225 has 9 divisors (see below), whose sum is σ = 52170754143. Its totient is φ = 33656910120.

The previous prime is 42072163151. The next prime is 42072163229. The reversal of 42072163225 is 52236127024.

The square root of 42072163225 is 205115.

It is a perfect power (a square), and thus also a powerful number.

42072163225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15145978761 + 26926184464 = 123069^2 + 164092^2 .

It is not a de Polignac number, because 42072163225 - 2²⁵ = 42038608793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42072163229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1005064 + ... + 1046086.

Almost surely, 2^42072163225 is an apocalyptic number.

42072163225 is the 205115-th square number.

42072163225 is the 102558-th centered octagonal number.

It is an amenable number.

42072163225 is a deficient number, since it is larger than the sum of its proper divisors (10098590918).

42072163225 is an frugal number, since it uses more digits than its factorization.

42072163225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82056 (or 41028 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 42072163225 in words is "forty-two billion, seventy-two million, one hundred sixty-three thousand, two hundred twenty-five".