242571672 has 160 divisors (see below), whose sum is σ = 791920800. Its totient is φ = 67931136.

The previous prime is 242571661. The next prime is 242571677. The reversal of 242571672 is 276175242.

It is a happy number.

242571672 is a `hidden beast` number, since 24 + 2 + 571 + 67 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242571677) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239904 + ... + 240912.

It is an arithmetic number, because the mean of its divisors is an integer number (4949505).

Almost surely, 2^242571672 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 242571672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395960400).

242571672 is an abundant number, since it is smaller than the sum of its proper divisors (549349128).

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

242571672 is a wasteful number, since it uses less digits than its factorization.

242571672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1074 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 242571672 is about 15574.7125816177. The cubic root of 242571672 is about 623.6582818356.

The spelling of 242571672 in words is "two hundred forty-two million, five hundred seventy-one thousand, six hundred seventy-two".