72808243200 has 2016 divisors, whose sum is σ = 354942282240. Its totient is φ = 14332723200.

The previous prime is 72808243139. The next prime is 72808243201. The reversal of 72808243200 is 234280827.

72808243200 is a `hidden beast` number, since 72 + 80 + 82 + 432 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72808243201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3832012791 + ... + 3832012809.

It is an arithmetic number, because the mean of its divisors is an integer number (176062640).

Almost surely, 2^72808243200 is an apocalyptic number.

72808243200 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 72808243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177471141120).

72808243200 is an abundant number, since it is smaller than the sum of its proper divisors (282134039040).

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

72808243200 is a wasteful number, since it uses less digits than its factorization.

72808243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 72808243200 in words is "seventy-two billion, eight hundred eight million, two hundred forty-three thousand, two hundred".