72924750835200 has 2880 divisors, whose sum is σ = 327978383040000. Its totient is φ = 15760156262400.

The previous prime is 72924750835199. The next prime is 72924750835207. The reversal of 72924750835200 is 253805742927.

72924750835200 is a `hidden beast` number, since 7 + 2 + 92 + 47 + 508 + 3 + 5 + 2 + 0 + 0 = 666.

72924750835200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72924750835207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13507082101 + ... + 13507087499.

It is an arithmetic number, because the mean of its divisors is an integer number (113881383000).

Almost surely, 2^{72924750835200} 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 72924750835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163989191520000).

72924750835200 is an abundant number, since it is smaller than the sum of its proper divisors (255053632204800).

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

72924750835200 is a wasteful number, since it uses less digits than its factorization.

72924750835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 72924750835200 in words is "seventy-two trillion, nine hundred twenty-four billion, seven hundred fifty million, eight hundred thirty-five thousand, two hundred".