72708584 has 64 divisors (see below), whose sum is σ = 152229840. Its totient is φ = 32348160.

The previous prime is 72708557. The next prime is 72708593. The reversal of 72708584 is 48580727.

It can be written as a sum of positive squares in 8 ways, for example, as 3319684 + 69388900 = 1822^2 + 8330^2 .

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 15 ways as a sum of consecutive naturals, for example, 463034 + ... + 463190.

Almost surely, 2^72708584 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 72708584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76114920).

72708584 is an abundant number, since it is smaller than the sum of its proper divisors (79521256).

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

72708584 is a wasteful number, since it uses less digits than its factorization.

72708584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 41.

The square root of 72708584 is about 8526.9328600617. The cubic root of 72708584 is about 417.3770472322.

The spelling of 72708584 in words is "seventy-two million, seven hundred eight thousand, five hundred eighty-four".