72288 has 36 divisors (see below), whose sum is σ = 206388. Its totient is φ = 24000.

The previous prime is 72287. The next prime is 72307. The reversal of 72288 is 88227.

It is a tau number, because it is divible by the number of its divisors (36).

Its product of digits (1792) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72287) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 163 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2⁷²²⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103194).

72288 is an abundant number, since it is smaller than the sum of its proper divisors (134100).

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

72288 is a wasteful number, since it uses less digits than its factorization.

72288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 72288 is about 268.8642780289. The cubic root of 72288 is about 41.6570715684.

It can be divided in two parts, 722 and 88, that multiplied together give a palindrome (63536).

The spelling of 72288 in words is "seventy-two thousand, two hundred eighty-eight".