67872384 has 128 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 22026240.

The previous prime is 67872373. The next prime is 67872391. The reversal of 67872384 is 48327876.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141457 + ... + 141935.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^67872384 is an apocalyptic number.

67872384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

67872384 is an abundant number, since it is smaller than the sum of its proper divisors (137759616).

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

67872384 is a wasteful number, since it uses less digits than its factorization.

67872384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 525 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 67872384 is about 8238.4697608233. The cubic root of 67872384 is about 407.9100147571.

The spelling of 67872384 in words is "sixty-seven million, eight hundred seventy-two thousand, three hundred eighty-four".