72558918082560 has 896 divisors, whose sum is σ = 289199573268480. Its totient is φ = 15124493500416.

The previous prime is 72558918082523. The next prime is 72558918082681. The reversal of 72558918082560 is 6528081985527.

It is a tau number, because it is divible by the number of its divisors (896).

It is a junction number, because it is equal to n+sod(n) for n = 72558918082491 and 72558918082500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 928073551 + ... + 928151729.

It is an arithmetic number, because the mean of its divisors is an integer number (322767380880).

Almost surely, 2^{72558918082560} is an apocalyptic number.

72558918082560 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 72558918082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144599786634240).

72558918082560 is an abundant number, since it is smaller than the sum of its proper divisors (216640655185920).

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

72558918082560 is a wasteful number, since it uses less digits than its factorization.

72558918082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78316 (or 78292 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 66.

The spelling of 72558918082560 in words is "seventy-two trillion, five hundred fifty-eight billion, nine hundred eighteen million, eighty-two thousand, five hundred sixty".