72416868 has 48 divisors (see below), whose sum is σ = 177762816. Its totient is φ = 22913280.

The previous prime is 72416867. The next prime is 72416873. The reversal of 72416868 is 86861427.

It is not an unprimeable number, because it can be changed into a prime (72416863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17880 + ... + 21552.

It is an arithmetic number, because the mean of its divisors is an integer number (3703392).

Almost surely, 2^72416868 is an apocalyptic number.

It is an amenable number.

72416868 is an abundant number, since it is smaller than the sum of its proper divisors (105345948).

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

72416868 is a wasteful number, since it uses less digits than its factorization.

72416868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3762 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 72416868 is about 8509.8101036392. The cubic root of 72416868 is about 416.8181092874.

The spelling of 72416868 in words is "seventy-two million, four hundred sixteen thousand, eight hundred sixty-eight".