72205968 has 40 divisors (see below), whose sum is σ = 187585216. Its totient is φ = 23932800.

The previous prime is 72205937. The next prime is 72205997. The reversal of 72205968 is 86950227.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4533 + ... + 12843.

Almost surely, 2^72205968 is an apocalyptic number.

It is an amenable number.

72205968 is an abundant number, since it is smaller than the sum of its proper divisors (115379248).

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

72205968 is a wasteful number, since it uses less digits than its factorization.

72205968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8503 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 72205968 is about 8497.4094876027. The cubic root of 72205968 is about 416.4130820367.

The spelling of 72205968 in words is "seventy-two million, two hundred five thousand, nine hundred sixty-eight".