242071872 has 224 divisors, whose sum is σ = 786530304. Its totient is φ = 64204800.

The previous prime is 242071853. The next prime is 242071883. The reversal of 242071872 is 278170242.

242071872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1267297 + ... + 1267487.

It is an arithmetic number, because the mean of its divisors is an integer number (3511296).

Almost surely, 2^242071872 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 242071872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393265152).

242071872 is an abundant number, since it is smaller than the sum of its proper divisors (544458432).

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

242071872 is a wasteful number, since it uses less digits than its factorization.

242071872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 242071872 is about 15558.6590681845. The cubic root of 242071872 is about 623.2296542428.

The spelling of 242071872 in words is "two hundred forty-two million, seventy-one thousand, eight hundred seventy-two".