67939872 has 288 divisors, whose sum is σ = 246141504. Its totient is φ = 16128000.

The previous prime is 67939831. The next prime is 67939889. The reversal of 67939872 is 27893976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672622 + ... + 672722.

It is an arithmetic number, because the mean of its divisors is an integer number (854658).

Almost surely, 2^67939872 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 67939872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123070752).

67939872 is an abundant number, since it is smaller than the sum of its proper divisors (178201632).

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

67939872 is a wasteful number, since it uses less digits than its factorization.

67939872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 51.

The square root of 67939872 is about 8242.5646494280. The cubic root of 67939872 is about 408.0451699317.

It can be divided in two parts, 67 and 939872, that added together give a palindrome (939939).

The spelling of 67939872 in words is "sixty-seven million, nine hundred thirty-nine thousand, eight hundred seventy-two".