67242144 has 48 divisors (see below), whose sum is σ = 176964480. Its totient is φ = 22356480.

The previous prime is 67242139. The next prime is 67242181. The reversal of 67242144 is 44124276.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54009 + ... + 55239.

It is an arithmetic number, because the mean of its divisors is an integer number (3686760).

Almost surely, 2^67242144 is an apocalyptic number.

It is an amenable number.

67242144 is an abundant number, since it is smaller than the sum of its proper divisors (109722336).

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

67242144 is a wasteful number, since it uses less digits than its factorization.

67242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1805 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 67242144 is about 8200.1307306652. The cubic root of 67242144 is about 406.6435150605.

The spelling of 67242144 in words is "sixty-seven million, two hundred forty-two thousand, one hundred forty-four".