72862783200 has 288 divisors, whose sum is σ = 264632749920. Its totient is φ = 19348070400.

The previous prime is 72862783187. The next prime is 72862783211. The reversal of 72862783200 is 238726827.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5198602 + ... + 5212598.

It is an arithmetic number, because the mean of its divisors is an integer number (918863715).

Almost surely, 2^72862783200 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 72862783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132316374960).

72862783200 is an abundant number, since it is smaller than the sum of its proper divisors (191769966720).

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

72862783200 is a wasteful number, since it uses less digits than its factorization.

72862783200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14267 (or 14248 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 72862783200 in words is "seventy-two billion, eight hundred sixty-two million, seven hundred eighty-three thousand, two hundred".