72068 has 12 divisors (see below), whose sum is σ = 129360. Its totient is φ = 35112.
The previous prime is 72053. The next prime is 72073. The reversal of 72068 is 86027.
It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.
It is an Ulam number.
It is an unprimeable number.
72068 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 381.
It is an arithmetic number, because the mean of its divisors is an integer number (10780).
272068 is an apocalyptic number.
It is an amenable number.
72068 is a deficient number, since it is larger than the sum of its proper divisors (57292).
72068 is a wasteful number, since it uses less digits than its factorization.
72068 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 466 (or 464 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 23.
The square root of 72068 is about 268.4548379151. The cubic root of 72068 is about 41.6147691642.
The spelling of 72068 in words is "seventy-two thousand, sixty-eight".
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