242672 has 20 divisors (see below), whose sum is σ = 487320. Its totient is φ = 116928.

The previous prime is 242659. The next prime is 242677. The reversal of 242672 is 276242.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242677) by changing a digit.

242672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 203 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (24366).

2²⁴²⁶⁷² 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 242672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243660).

242672 is an abundant number, since it is smaller than the sum of its proper divisors (244648).

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

242672 is a wasteful number, since it uses less digits than its factorization.

242672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 242672 is about 492.6174986742. The cubic root of 242672 is about 62.3744251978.

The spelling of 242672 in words is "two hundred forty-two thousand, six hundred seventy-two".