68872128 has 112 divisors (see below), whose sum is σ = 201326496. Its totient is φ = 20643840.

The previous prime is 68872127. The next prime is 68872147. The reversal of 68872128 is 82127886.

It is a self number, because there is not a number n which added to its sum of digits gives 68872128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68872127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102000 + ... + 102672.

It is an arithmetic number, because the mean of its divisors is an integer number (1797558).

Almost surely, 2^68872128 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 68872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100663248).

68872128 is an abundant number, since it is smaller than the sum of its proper divisors (132454368).

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

68872128 is a wasteful number, since it uses less digits than its factorization.

68872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 68872128 is about 8298.9233036581. The cubic root of 68872128 is about 409.9030665154.

The spelling of 68872128 in words is "sixty-eight million, eight hundred seventy-two thousand, one hundred twenty-eight".