72618 has 48 divisors (see below), whose sum is σ = 191520. Its totient is φ = 18144.

The previous prime is 72617. The next prime is 72623. The reversal of 72618 is 81627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3813 + ... + 3831.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2⁷²⁶¹⁸ is an apocalyptic number.

72618 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

72618 is an abundant number, since it is smaller than the sum of its proper divisors (118902).

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

72618 is a wasteful number, since it uses less digits than its factorization.

72618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 44 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 72618 is about 269.4772717689. The cubic root of 72618 is about 41.7203645450.

Subtracting 72618 from its reverse (81627), we obtain a palindrome (9009).

The spelling of 72618 in words is "seventy-two thousand, six hundred eighteen".