72159568 has 90 divisors (see below), whose sum is σ = 164196522. Its totient is φ = 30533760.

The previous prime is 72159557. The next prime is 72159601. The reversal of 72159568 is 86595127.

It can be written as a sum of positive squares in only one way, i.e., 49956624 + 22202944 = 7068^2 + 4712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2327713 + ... + 2327743.

Almost surely, 2^72159568 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 72159568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82098261).

72159568 is an abundant number, since it is smaller than the sum of its proper divisors (92036954).

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

72159568 is a wasteful number, since it uses less digits than its factorization.

72159568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 65 counting only the distinct ones).

The product of its digits is 151200, while the sum is 43.

The square root of 72159568 is about 8494.6788049932. The cubic root of 72159568 is about 416.3238663862.

It can be divided in two parts, 72159 and 568, that added together give a palindrome (72727).

The spelling of 72159568 in words is "seventy-two million, one hundred fifty-nine thousand, five hundred sixty-eight".