72593533056 has 256 divisors, whose sum is σ = 214838438400. Its totient is φ = 21533614080.

The previous prime is 72593533039. The next prime is 72593533069. The reversal of 72593533056 is 65033539527.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 72593532996 and 72593533014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50657716 + ... + 50659148.

It is an arithmetic number, because the mean of its divisors is an integer number (839212650).

Almost surely, 2^72593533056 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 72593533056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107419219200).

72593533056 is an abundant number, since it is smaller than the sum of its proper divisors (142244905344).

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

72593533056 is a wasteful number, since it uses less digits than its factorization.

72593533056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 48.

The spelling of 72593533056 in words is "seventy-two billion, five hundred ninety-three million, five hundred thirty-three thousand, fifty-six".