72759859200 has 1152 divisors, whose sum is σ = 312629990400. Its totient is φ = 16243752960.

The previous prime is 72759859199. The next prime is 72759859219. The reversal of 72759859200 is 295895727.

72759859200 is a `hidden beast` number, since 7 + 27 + 598 + 5 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×72759859200² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 706406349 + ... + 706406451.

It is an arithmetic number, because the mean of its divisors is an integer number (271380200).

Almost surely, 2^72759859200 is an apocalyptic number.

72759859200 is a gapful number since it is divisible by the number (70) 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 72759859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156314995200).

72759859200 is an abundant number, since it is smaller than the sum of its proper divisors (239870131200).

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

72759859200 is a wasteful number, since it uses less digits than its factorization.

72759859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 72759859200 in words is "seventy-two billion, seven hundred fifty-nine million, eight hundred fifty-nine thousand, two hundred".