242724272 has 40 divisors (see below), whose sum is σ = 540060672. Its totient is φ = 103521600.

The previous prime is 242724269. The next prime is 242724281. The reversal of 242724272 is 272427242.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18497 + ... + 28767.

Almost surely, 2^242724272 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 242724272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270030336).

242724272 is an abundant number, since it is smaller than the sum of its proper divisors (297336400).

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

242724272 is a wasteful number, since it uses less digits than its factorization.

242724272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10497 (or 10491 counting only the distinct ones).

The product of its digits is 25088, while the sum is 32.

The square root of 242724272 is about 15579.6107781934. The cubic root of 242724272 is about 623.7890339868.

The spelling of 242724272 in words is "two hundred forty-two million, seven hundred twenty-four thousand, two hundred seventy-two".