72559328 has 48 divisors (see below), whose sum is σ = 151683840. Its totient is φ = 34070400.

The previous prime is 72559327. The next prime is 72559339. The reversal of 72559328 is 82395527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72559327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79193 + ... + 80103.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 2^72559328 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 72559328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841920).

72559328 is an abundant number, since it is smaller than the sum of its proper divisors (79124512).

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

72559328 is a wasteful number, since it uses less digits than its factorization.

72559328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1063 counting only the distinct ones).

The product of its digits is 151200, while the sum is 41.

The square root of 72559328 is about 8518.1763306473. The cubic root of 72559328 is about 417.0912547308.

The spelling of 72559328 in words is "seventy-two million, five hundred fifty-nine thousand, three hundred twenty-eight".