72833476800000 has 960 divisors, whose sum is σ = 286733662871040. Its totient is φ = 16073379840000.

The previous prime is 72833476799947. The next prime is 72833476800023. The reversal of 72833476800000 is 867433827.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×72833476800000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 974362627 + ... + 974437373.

It is an arithmetic number, because the mean of its divisors is an integer number (298680898824).

Almost surely, 2^{72833476800000} is an apocalyptic number.

72833476800000 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 72833476800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143366831435520).

72833476800000 is an abundant number, since it is smaller than the sum of its proper divisors (213900186071040).

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

72833476800000 is an frugal number, since it uses more digits than its factorization.

72833476800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74829 (or 74793 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 72833476800000 in words is "seventy-two trillion, eight hundred thirty-three billion, four hundred seventy-six million, eight hundred thousand".