68072 has 16 divisors (see below), whose sum is σ = 130560. Its totient is φ = 33264.

The previous prime is 68071. The next prime is 68087. The reversal of 68072 is 27086.

68072 = T₆₃ + T₆₄ + ... + T₈₆.

It is a plaindrome in base 9 and base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68072.

It is not an unprimeable number, because it can be changed into a prime (68071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 473 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (8160).

2⁶⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

68072 is a deficient number, since it is larger than the sum of its proper divisors (62488).

68072 is a wasteful number, since it uses less digits than its factorization.

68072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 68072 is about 260.9061133818. The cubic root of 68072 is about 40.8309517793.

The spelling of 68072 in words is "sixty-eight thousand, seventy-two".