68376672 has 144 divisors (see below), whose sum is σ = 239410080. Its totient is φ = 18026496.

The previous prime is 68376661. The next prime is 68376719. The reversal of 68376672 is 27667386.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24904 + ... + 27512.

It is an arithmetic number, because the mean of its divisors is an integer number (1662570).

Almost surely, 2^68376672 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 68376672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119705040).

68376672 is an abundant number, since it is smaller than the sum of its proper divisors (171033408).

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

68376672 is a wasteful number, since it uses less digits than its factorization.

68376672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2634 counting only the distinct ones).

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

The square root of 68376672 is about 8269.0188051546. The cubic root of 68376672 is about 408.9177724993.

The spelling of 68376672 in words is "sixty-eight million, three hundred seventy-six thousand, six hundred seventy-two".