242125872 has 120 divisors (see below), whose sum is σ = 672300720. Its totient is φ = 74995200.

The previous prime is 242125867. The next prime is 242125879. The reversal of 242125872 is 278521242.

It is not an unprimeable number, because it can be changed into a prime (242125879) 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 in 23 ways as a sum of consecutive naturals, for example, 1337622 + ... + 1337802.

It is an arithmetic number, because the mean of its divisors is an integer number (5602506).

Almost surely, 2^242125872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242125872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336150360).

242125872 is an abundant number, since it is smaller than the sum of its proper divisors (430174848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242125872 is a wasteful number, since it uses less digits than its factorization.

242125872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 246 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 242125872 is about 15560.3943394761. The cubic root of 242125872 is about 623.2759929588.

The spelling of 242125872 in words is "two hundred forty-two million, one hundred twenty-five thousand, eight hundred seventy-two".