72488 has 32 divisors (see below), whose sum is σ = 158760. Its totient is φ = 30720.

The previous prime is 72481. The next prime is 72493. The reversal of 72488 is 88427.

It can be written as a sum of positive squares in 4 ways, for example, as 40804 + 31684 = 202^2 + 178^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72488.

It is not an unprimeable number, because it can be changed into a prime (72481) by changing a digit.

72488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1748 + ... + 1788.

2⁷²⁴⁸⁸ 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 72488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380).

72488 is an abundant number, since it is smaller than the sum of its proper divisors (86272).

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

72488 is a wasteful number, since it uses less digits than its factorization.

72488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 73 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 72488 is about 269.2359559940. The cubic root of 72488 is about 41.6954538843.

The spelling of 72488 in words is "seventy-two thousand, four hundred eighty-eight".