72924656694912 has 1536 divisors, whose sum is σ = 258908607360000. Its totient is φ = 19415690772480.

The previous prime is 72924656694887. The next prime is 72924656694959. The reversal of 72924656694912 is 21949665642927.

72924656694912 is a `hidden beast` number, since 7 + 2 + 9 + 2 + 4 + 6 + 566 + 9 + 49 + 12 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117810430539 + ... + 117810431157.

It is an arithmetic number, because the mean of its divisors is an integer number (168560291250).

Almost surely, 2^{72924656694912} is an apocalyptic number.

72924656694912 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 72924656694912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129454303680000).

72924656694912 is an abundant number, since it is smaller than the sum of its proper divisors (185983950665088).

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

72924656694912 is a wasteful number, since it uses less digits than its factorization.

72924656694912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1047 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 72924656694912 in words is "seventy-two trillion, nine hundred twenty-four billion, six hundred fifty-six million, six hundred ninety-four thousand, nine hundred twelve".