72284719046400 has 1296 divisors, whose sum is σ = 303285733470720. Its totient is φ = 16083947520000.

The previous prime is 72284719046339. The next prime is 72284719046413. The reversal of 72284719046400 is 464091748227.

72284719046400 is a `hidden beast` number, since 7 + 2 + 2 + 8 + 4 + 7 + 190 + 46 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2450231650 + ... + 2450261150.

Almost surely, 2^{72284719046400} is an apocalyptic number.

72284719046400 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 72284719046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151642866735360).

72284719046400 is an abundant number, since it is smaller than the sum of its proper divisors (231001014424320).

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

72284719046400 is a wasteful number, since it uses less digits than its factorization.

72284719046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29702 (or 29680 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 72284719046400 in words is "seventy-two trillion, two hundred eighty-four billion, seven hundred nineteen million, forty-six thousand, four hundred".