72086 has 16 divisors (see below), whose sum is σ = 130560. Its totient is φ = 29160.

The previous prime is 72077. The next prime is 72089. The reversal of 72086 is 68027.

72086 = T₁₄₀ + T₁₄₁ + ... + T₁₄₆.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72089) by changing a digit.

72086 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 7 ways as a sum of consecutive naturals, for example, 131 + ... + 401.

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

2⁷²⁰⁸⁶ is an apocalyptic number.

72086 is a deficient number, since it is larger than the sum of its proper divisors (58474).

72086 is a wasteful number, since it uses less digits than its factorization.

72086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299.

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

The square root of 72086 is about 268.4883610140. The cubic root of 72086 is about 41.6182335011.

The spelling of 72086 in words is "seventy-two thousand, eighty-six".