72560160 has 144 divisors (see below), whose sum is σ = 253857240. Its totient is φ = 18862080.

The previous prime is 72560141. The next prime is 72560167. The reversal of 72560160 is 6106527.

It can be written as a sum of positive squares in 4 ways, for example, as 61027344 + 11532816 = 7812^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72560167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58426 + ... + 59654.

Almost surely, 2^72560160 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 72560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126928620).

72560160 is an abundant number, since it is smaller than the sum of its proper divisors (181297080).

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

72560160 is a wasteful number, since it uses less digits than its factorization.

72560160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72560160 is about 8518.2251672517. The cubic root of 72560160 is about 417.0928489140.

Adding to 72560160 its reverse (6106527), we get a palindrome (78666687).

The spelling of 72560160 in words is "seventy-two million, five hundred sixty thousand, one hundred sixty".