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72067 = 193793
BaseRepresentation
bin10001100110000011
310122212011
4101212003
54301232
61313351
7420052
oct214603
9118764
1072067
114a166
1235857
1326a58
141c399
1516547
hex11983

72067 has 4 divisors (see below), whose sum is σ = 75880. Its totient is φ = 68256.

The previous prime is 72053. The next prime is 72073. The reversal of 72067 is 76027.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76027 = 710861.

It is a cyclic number.

It is not a de Polignac number, because 72067 - 211 = 70019 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72047) 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, 1878 + ... + 1915.

It is an arithmetic number, because the mean of its divisors is an integer number (18970).

272067 is an apocalyptic number.

72067 is a deficient number, since it is larger than the sum of its proper divisors (3813).

72067 is a wasteful number, since it uses less digits than its factorization.

72067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812.

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 72067 is about 268.4529753979. The cubic root of 72067 is about 41.6145766841.

It can be divided in two parts, 720 and 67, that added together give a palindrome (787).

The spelling of 72067 in words is "seventy-two thousand, sixty-seven".

Divisors: 1 19 3793 72067