72305168 has 20 divisors (see below), whose sum is σ = 150867948. Its totient is φ = 33371520.

The previous prime is 72305161. The next prime is 72305171. The reversal of 72305168 is 86150327.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42406144 + 29899024 = 6512^2 + 5468^2 .

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 3 ways as a sum of consecutive naturals, for example, 173603 + ... + 174018.

Almost surely, 2^72305168 is an apocalyptic number.

It is an amenable number.

72305168 is an abundant number, since it is smaller than the sum of its proper divisors (78562780).

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

72305168 is a wasteful number, since it uses less digits than its factorization.

72305168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347642 (or 347636 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 72305168 is about 8503.2445572264. The cubic root of 72305168 is about 416.6036908200.

The spelling of 72305168 in words is "seventy-two million, three hundred five thousand, one hundred sixty-eight".