72482688 has 80 divisors (see below), whose sum is σ = 215738160. Its totient is φ = 24157440.

The previous prime is 72482671. The next prime is 72482719. The reversal of 72482688 is 88628427.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6873 + ... + 13863.

It is an arithmetic number, because the mean of its divisors is an integer number (2696727).

Almost surely, 2^72482688 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 72482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107869080).

72482688 is an abundant number, since it is smaller than the sum of its proper divisors (143255472).

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

72482688 is an equidigital number, since it uses as much as digits as its factorization.

72482688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7017 (or 6996 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 72482688 is about 8513.6765266247. The cubic root of 72482688 is about 416.9443536325.

The spelling of 72482688 in words is "seventy-two million, four hundred eighty-two thousand, six hundred eighty-eight".