72817948056 has 64 divisors (see below), whose sum is σ = 208174982400. Its totient is φ = 20792757888.

The previous prime is 72817948051. The next prime is 72817948061. The reversal of 72817948056 is 65084971827.

It is an interprime number because it is at equal distance from previous prime (72817948051) and next prime (72817948061).

It is a junction number, because it is equal to n+sod(n) for n = 72817947987 and 72817948005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72817948051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 156415 + ... + 412433.

It is an arithmetic number, because the mean of its divisors is an integer number (3252734100).

Almost surely, 2^72817948056 is an apocalyptic number.

It is an amenable number.

72817948056 is an abundant number, since it is smaller than the sum of its proper divisors (135357034344).

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

72817948056 is a wasteful number, since it uses less digits than its factorization.

72817948056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257728 (or 257724 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 72817948056 in words is "seventy-two billion, eight hundred seventeen million, nine hundred forty-eight thousand, fifty-six".