67368672 has 240 divisors, whose sum is σ = 234178560. Its totient is φ = 18600192.

The previous prime is 67368667. The next prime is 67368677. The reversal of 67368672 is 27686376.

It is an interprime number because it is at equal distance from previous prime (67368667) and next prime (67368677).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67368677) 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, 852729 + ... + 852807.

It is an arithmetic number, because the mean of its divisors is an integer number (975744).

Almost surely, 2^67368672 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 67368672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117089280).

67368672 is an abundant number, since it is smaller than the sum of its proper divisors (166809888).

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

67368672 is a wasteful number, since it uses less digits than its factorization.

67368672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 67368672 is about 8207.8421037444. The cubic root of 67368672 is about 406.8984125074.

The spelling of 67368672 in words is "sixty-seven million, three hundred sixty-eight thousand, six hundred seventy-two".