72843040800 has 432 divisors, whose sum is σ = 267363637632. Its totient is φ = 19352908800.

The previous prime is 72843040799. The next prime is 72843040811. The reversal of 72843040800 is 804034827.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×72843040800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71344290 + ... + 71345310.

Almost surely, 2^72843040800 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 72843040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133681818816).

72843040800 is an abundant number, since it is smaller than the sum of its proper divisors (194520596832).

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

72843040800 is a wasteful number, since it uses less digits than its factorization.

72843040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1398 counting only the distinct ones).

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

The spelling of 72843040800 in words is "seventy-two billion, eight hundred forty-three million, forty thousand, eight hundred".