72468394416 has 200 divisors, whose sum is σ = 229804804944. Its totient is φ = 21864867840.

The previous prime is 72468394391. The next prime is 72468394421. The reversal of 72468394416 is 61449386427.

72468394416 is a `hidden beast` number, since 7 + 246 + 8 + 394 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3310740 + ... + 3332556.

Almost surely, 2^72468394416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72468394416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114902402472).

72468394416 is an abundant number, since it is smaller than the sum of its proper divisors (157336410528).

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

72468394416 is a wasteful number, since it uses less digits than its factorization.

72468394416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22081 (or 22066 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 72468394416 in words is "seventy-two billion, four hundred sixty-eight million, three hundred ninety-four thousand, four hundred sixteen".