68025672 has 96 divisors (see below), whose sum is σ = 216478080. Its totient is φ = 19025280.

The previous prime is 68025649. The next prime is 68025673. The reversal of 68025672 is 27652086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68025673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6993 + ... + 13599.

It is an arithmetic number, because the mean of its divisors is an integer number (2254980).

Almost surely, 2^68025672 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 68025672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108239040).

68025672 is an abundant number, since it is smaller than the sum of its proper divisors (148452408).

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

68025672 is a wasteful number, since it uses less digits than its factorization.

68025672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68025672 is about 8247.7676979896. The cubic root of 68025672 is about 408.2168685575.

The spelling of 68025672 in words is "sixty-eight million, twenty-five thousand, six hundred seventy-two".