72954682428672 has 1440 divisors, whose sum is σ = 246168502272000. Its totient is φ = 21303204249600.

The previous prime is 72954682428643. The next prime is 72954682428679. The reversal of 72954682428672 is 27682428645927.

72954682428672 is a `hidden beast` number, since 7 + 2 + 9 + 54 + 6 + 82 + 428 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 72954682428672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72954682428679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 162482588704 + ... + 162482589152.

It is an arithmetic number, because the mean of its divisors is an integer number (170950348800).

Almost surely, 2^{72954682428672} is an apocalyptic number.

72954682428672 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 72954682428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123084251136000).

72954682428672 is an abundant number, since it is smaller than the sum of its proper divisors (173213819843328).

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

72954682428672 is a wasteful number, since it uses less digits than its factorization.

72954682428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 742 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 72954682428672 in words is "seventy-two trillion, nine hundred fifty-four billion, six hundred eighty-two million, four hundred twenty-eight thousand, six hundred seventy-two".