72448032 has 96 divisors (see below), whose sum is σ = 200854080. Its totient is φ = 22830080.

The previous prime is 72448027. The next prime is 72448069. The reversal of 72448032 is 23084427.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147307 + ... + 147797.

It is an arithmetic number, because the mean of its divisors is an integer number (2092230).

Almost surely, 2^72448032 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 72448032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100427040).

72448032 is an abundant number, since it is smaller than the sum of its proper divisors (128406048).

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

72448032 is a wasteful number, since it uses less digits than its factorization.

72448032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 72448032 is about 8511.6409698718. The cubic root of 72448032 is about 416.8778921208.

The spelling of 72448032 in words is "seventy-two million, four hundred forty-eight thousand, thirty-two".