72888 has 16 divisors (see below), whose sum is σ = 182280. Its totient is φ = 24288.

The previous prime is 72883. The next prime is 72889. The reversal of 72888 is 88827.

72888 is a modest number, since divided by 888 gives 72 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1495 + ... + 1542.

2⁷²⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

72888 is an abundant number, since it is smaller than the sum of its proper divisors (109392).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91140).

72888 is a wasteful number, since it uses less digits than its factorization.

72888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3042 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 72888 is about 269.9777768632. The cubic root of 72888 is about 41.7720072341.

It can be divided in two parts, 72 and 888, that multiplied together give a palindrome (63936).

The spelling of 72888 in words is "seventy-two thousand, eight hundred eighty-eight".