72586160 has 80 divisors (see below), whose sum is σ = 178274304. Its totient is φ = 27430656.

The previous prime is 72586147. The next prime is 72586207. The reversal of 72586160 is 6168527.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 72586160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189329 + ... + 189711.

Almost surely, 2^72586160 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 72586160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89137152).

72586160 is an abundant number, since it is smaller than the sum of its proper divisors (105688144).

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

72586160 is a wasteful number, since it uses less digits than its factorization.

72586160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 72586160 is about 8519.7511700753. The cubic root of 72586160 is about 417.1426610013.

The spelling of 72586160 in words is "seventy-two million, five hundred eighty-six thousand, one hundred sixty".