242739672 has 128 divisors (see below), whose sum is σ = 723517440. Its totient is φ = 66407040.

The previous prime is 242739661. The next prime is 242739683. The reversal of 242739672 is 276937242.

It is an interprime number because it is at equal distance from previous prime (242739661) and next prime (242739683).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 661233 + ... + 661599.

It is an arithmetic number, because the mean of its divisors is an integer number (5652480).

Almost surely, 2^242739672 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 242739672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361758720).

242739672 is an abundant number, since it is smaller than the sum of its proper divisors (480777768).

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

242739672 is a wasteful number, since it uses less digits than its factorization.

242739672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 537 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 242739672 is about 15580.1050060646. The cubic root of 242739672 is about 623.8022261134.

The spelling of 242739672 in words is "two hundred forty-two million, seven hundred thirty-nine thousand, six hundred seventy-two".