72558 has 24 divisors (see below), whose sum is σ = 163800. Its totient is φ = 23184.

The previous prime is 72551. The next prime is 72559. The reversal of 72558 is 85527.

It is a happy number.

It is a super-3 number, since 3×72558³ = 1145980333095336, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72551) by changing a digit.

72558 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 11 ways as a sum of consecutive naturals, for example, 453 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (6825).

2⁷²⁵⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81900).

72558 is an abundant number, since it is smaller than the sum of its proper divisors (91242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72558 is a wasteful number, since it uses less digits than its factorization.

72558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 173 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 72558 is about 269.3659221208. The cubic root of 72558 is about 41.7088710144.

It can be divided in two parts, 72 and 558, that added together give a triangular number (630 = T₃₅).

The spelling of 72558 in words is "seventy-two thousand, five hundred fifty-eight".