72583 has 4 divisors (see below), whose sum is σ = 82960. Its totient is φ = 62208.

The previous prime is 72577. The next prime is 72613. The reversal of 72583 is 38527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 38527 = 59 ⋅653.

It is a 8-Lehmer number, since φ(72583) divides (72583-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 72583 - 2⁵ = 72551 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72503) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5178 + ... + 5191.

It is an arithmetic number, because the mean of its divisors is an integer number (20740).

2⁷²⁵⁸³ is an apocalyptic number.

72583 is a deficient number, since it is larger than the sum of its proper divisors (10377).

72583 is a wasteful number, since it uses less digits than its factorization.

72583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376.

The product of its digits is 1680, while the sum is 25.

The square root of 72583 is about 269.4123234004. The cubic root of 72583 is about 41.7136607552.

It can be divided in two parts, 725 and 83, that added together give a palindrome (808).

The spelling of 72583 in words is "seventy-two thousand, five hundred eighty-three".