72083 has 4 divisors (see below), whose sum is σ = 78648. Its totient is φ = 65520.

The previous prime is 72077. The next prime is 72089. The reversal of 72083 is 38027.

72083 = T₁₅₂ + T₁₅₃ + ... + T₁₅₇.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 38027 = 11 ⋅3457.

It is an interprime number because it is at equal distance from previous prime (72077) and next prime (72089).

It is a cyclic number.

It is not a de Polignac number, because 72083 - 2⁶ = 72019 is a prime.

It is an Ulam number.

It is a Duffinian number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3266 + ... + 3287.

It is an arithmetic number, because the mean of its divisors is an integer number (19662).

2⁷²⁰⁸³ is an apocalyptic number.

72083 is a deficient number, since it is larger than the sum of its proper divisors (6565).

72083 is a wasteful number, since it uses less digits than its factorization.

72083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6564.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 72083 is about 268.4827741215. The cubic root of 72083 is about 41.6176561516.

The spelling of 72083 in words is "seventy-two thousand, eighty-three".