242083872 has 72 divisors (see below), whose sum is σ = 698181120. Its totient is φ = 79551360.

The previous prime is 242083871. The next prime is 242083889. The reversal of 242083872 is 278380242.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242083871) 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 11 ways as a sum of consecutive naturals, for example, 14529 + ... + 26367.

It is an arithmetic number, because the mean of its divisors is an integer number (9696960).

Almost surely, 2^242083872 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 242083872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349090560).

242083872 is an abundant number, since it is smaller than the sum of its proper divisors (456097248).

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

242083872 is a wasteful number, since it uses less digits than its factorization.

242083872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11926 (or 11915 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 242083872 is about 15559.0447007520. The cubic root of 242083872 is about 623.2399523308.

The spelling of 242083872 in words is "two hundred forty-two million, eighty-three thousand, eight hundred seventy-two".