68672 has 28 divisors (see below), whose sum is σ = 144780. Its totient is φ = 32256.

The previous prime is 68669. The next prime is 68683. The reversal of 68672 is 27686.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 18496 = 224^2 + 136^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1838 + ... + 1874.

2⁶⁸⁶⁷² 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 68672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72390).

68672 is an abundant number, since it is smaller than the sum of its proper divisors (76108).

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

68672 is a wasteful number, since it uses less digits than its factorization.

68672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 68672 is about 262.0534296665. The cubic root of 68672 is about 40.9505650469.

The spelling of 68672 in words is "sixty-eight thousand, six hundred seventy-two".