72854046720 has 1728 divisors, whose sum is σ = 339512387760. Its totient is φ = 14269022208.

The previous prime is 72854046719. The next prime is 72854046779. The reversal of 72854046720 is 2764045827.

It is a happy number.

72854046720 is a `hidden beast` number, since 7 + 28 + 540 + 4 + 67 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30292706304 + 42561340416 = 174048^2 + 206304^2 .

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 143 ways as a sum of consecutive naturals, for example, 998000604 + ... + 998000676.

Almost surely, 2^72854046720 is an apocalyptic number.

72854046720 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 72854046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169756193880).

72854046720 is an abundant number, since it is smaller than the sum of its proper divisors (266658341040).

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

72854046720 is a wasteful number, since it uses less digits than its factorization.

72854046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 72854046720 in words is "seventy-two billion, eight hundred fifty-four million, forty-six thousand, seven hundred twenty".