72579 has 8 divisors (see below), whose sum is σ = 104272. Its totient is φ = 44640.

The previous prime is 72577. The next prime is 72613. The reversal of 72579 is 97527.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72579 - 2¹ = 72577 is a prime.

It is a super-2 number, since 2×72579² = 10535422482, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (72577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 892 + ... + 969.

It is an arithmetic number, because the mean of its divisors is an integer number (13034).

2⁷²⁵⁷⁹ is an apocalyptic number.

72579 is a deficient number, since it is larger than the sum of its proper divisors (31693).

72579 is a wasteful number, since it uses less digits than its factorization.

72579 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877.

The product of its digits is 4410, while the sum is 30.

The square root of 72579 is about 269.4048997327. The cubic root of 72579 is about 41.7128944706.

It can be divided in two parts, 725 and 79, that multiplied together give a palindrome (57275).

The spelling of 72579 in words is "seventy-two thousand, five hundred seventy-nine".