72648288 has 72 divisors (see below), whose sum is σ = 207822888. Its totient is φ = 24072192.

The previous prime is 72648263. The next prime is 72648299. The reversal of 72648288 is 88284627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54931 + ... + 56237.

It is an arithmetic number, because the mean of its divisors is an integer number (2886429).

Almost surely, 2^72648288 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 72648288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103911444).

72648288 is an abundant number, since it is smaller than the sum of its proper divisors (135174600).

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

72648288 is a wasteful number, since it uses less digits than its factorization.

72648288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1505 counting only the distinct ones).

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

The square root of 72648288 is about 8523.3965060884. The cubic root of 72648288 is about 417.2616407474.

The spelling of 72648288 in words is "seventy-two million, six hundred forty-eight thousand, two hundred eighty-eight".