72616615242912 has 576 divisors, whose sum is σ = 247343931918720. Its totient is φ = 20768178622464.

The previous prime is 72616615242907. The next prime is 72616615242943. The reversal of 72616615242912 is 21924251661627.

72616615242912 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 6 + 615 + 2 + 4 + 2 + 9 + 12 = 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 95 ways as a sum of consecutive naturals, for example, 101438938 + ... + 102152294.

It is an arithmetic number, because the mean of its divisors is an integer number (429416548470).

Almost surely, 2^{72616615242912} is an apocalyptic number.

72616615242912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72616615242912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123671965959360).

72616615242912 is an abundant number, since it is smaller than the sum of its proper divisors (174727316675808).

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

72616615242912 is a wasteful number, since it uses less digits than its factorization.

72616615242912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713467 (or 713447 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 72616615242912 in words is "seventy-two trillion, six hundred sixteen billion, six hundred fifteen million, two hundred forty-two thousand, nine hundred twelve".