72812234880 has 2560 divisors, whose sum is σ = 364691289600. Its totient is φ = 13377208320.

The previous prime is 72812234849. The next prime is 72812234941. The reversal of 72812234880 is 8843221827.

72812234880 is a `hidden beast` number, since 7 + 281 + 22 + 348 + 8 + 0 = 666.

It is a super-2 number, since 2×72812234880² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1967898222 + ... + 1967898258.

It is an arithmetic number, because the mean of its divisors is an integer number (142457535).

Almost surely, 2^72812234880 is an apocalyptic number.

72812234880 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 72812234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182345644800).

72812234880 is an abundant number, since it is smaller than the sum of its proper divisors (291879054720).

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

72812234880 is a wasteful number, since it uses less digits than its factorization.

72812234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 72812234880 in words is "seventy-two billion, eight hundred twelve million, two hundred thirty-four thousand, eight hundred eighty".