72416647296 has 256 divisors, whose sum is σ = 244549324800. Its totient is φ = 20666188800.

The previous prime is 72416647273. The next prime is 72416647313. The reversal of 72416647296 is 69274661427.

72416647296 is a `hidden beast` number, since 7 + 2 + 4 + 166 + 472 + 9 + 6 = 666.

It is a super-2 number, since 2×72416647296² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35101561 + ... + 35103623.

It is an arithmetic number, because the mean of its divisors is an integer number (955270800).

Almost surely, 2^72416647296 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 72416647296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122274662400).

72416647296 is an abundant number, since it is smaller than the sum of its proper divisors (172132677504).

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

72416647296 is a wasteful number, since it uses less digits than its factorization.

72416647296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3526 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 72416647296 in words is "seventy-two billion, four hundred sixteen million, six hundred forty-seven thousand, two hundred ninety-six".