242129272 has 64 divisors (see below), whose sum is σ = 579882240. Its totient is φ = 92025600.

The previous prime is 242129269. The next prime is 242129273. The reversal of 242129272 is 272921242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242129273) 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, 20463 + ... + 30049.

It is an arithmetic number, because the mean of its divisors is an integer number (9060660).

Almost surely, 2^242129272 is an apocalyptic number.

242129272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242129272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289941120).

242129272 is an abundant number, since it is smaller than the sum of its proper divisors (337752968).

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

242129272 is a wasteful number, since it uses less digits than its factorization.

242129272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9652 (or 9648 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 242129272 is about 15560.5035908225. The cubic root of 242129272 is about 623.2789103511.

The spelling of 242129272 in words is "two hundred forty-two million, one hundred twenty-nine thousand, two hundred seventy-two".