72599328 has 120 divisors (see below), whose sum is σ = 219572892. Its totient is φ = 23514624.

The previous prime is 72599327. The next prime is 72599369. The reversal of 72599328 is 82399527.

It can be written as a sum of positive squares in 2 ways, for example, as 66781584 + 5817744 = 8172^2 + 2412^2 .

It is not an unprimeable number, because it can be changed into a prime (72599327) 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 19 ways as a sum of consecutive naturals, for example, 95526 + ... + 96282.

Almost surely, 2^72599328 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 72599328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109786446).

72599328 is an abundant number, since it is smaller than the sum of its proper divisors (146973564).

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

72599328 is a wasteful number, since it uses less digits than its factorization.

72599328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 799 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 72599328 is about 8520.5239275528. The cubic root of 72599328 is about 417.1678843700.

It can be divided in two parts, 72599 and 328, that added together give a palindrome (72927).

The spelling of 72599328 in words is "seventy-two million, five hundred ninety-nine thousand, three hundred twenty-eight".