72416368 has 20 divisors (see below), whose sum is σ = 140459760. Its totient is φ = 36168704.

The previous prime is 72416339. The next prime is 72416371. The reversal of 72416368 is 86361427.

It is a super-3 number, since 3×72416368³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17613 + ... + 21331.

It is an arithmetic number, because the mean of its divisors is an integer number (7022988).

Almost surely, 2^72416368 is an apocalyptic number.

It is an amenable number.

72416368 is a deficient number, since it is larger than the sum of its proper divisors (68043392).

72416368 is a wasteful number, since it uses less digits than its factorization.

72416368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4938 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 72416368 is about 8509.7807257297. The cubic root of 72416368 is about 416.8171499827.

The spelling of 72416368 in words is "seventy-two million, four hundred sixteen thousand, three hundred sixty-eight".