68971672 has 128 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 24796800.

The previous prime is 68971627. The next prime is 68971711. The reversal of 68971672 is 27617986.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830943 + ... + 831025.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^68971672 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 68971672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

68971672 is an abundant number, since it is smaller than the sum of its proper divisors (105210728).

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

68971672 is a wasteful number, since it uses less digits than its factorization.

68971672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The square root of 68971672 is about 8304.9185426469. The cubic root of 68971672 is about 410.1004552583.

It can be divided in two parts, 689 and 71672, that added together give a square (72361 = 269²).

The spelling of 68971672 in words is "sixty-eight million, nine hundred seventy-one thousand, six hundred seventy-two".