72305160 has 32 divisors (see below), whose sum is σ = 216915840. Its totient is φ = 19281344.

The previous prime is 72305153. The next prime is 72305161. The reversal of 72305160 is 6150327.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72305160.

It is not an unprimeable number, because it can be changed into a prime (72305161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301152 + ... + 301391.

It is an arithmetic number, because the mean of its divisors is an integer number (6778620).

Almost surely, 2^72305160 is an apocalyptic number.

It is an amenable number.

72305160 is an abundant number, since it is smaller than the sum of its proper divisors (144610680).

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

72305160 is a wasteful number, since it uses less digits than its factorization.

72305160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602557 (or 602553 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 72305160 is about 8503.2440868177. The cubic root of 72305160 is about 416.6036754553.

Adding to 72305160 its reverse (6150327), we get a palindrome (78455487).

The spelling of 72305160 in words is "seventy-two million, three hundred five thousand, one hundred sixty".