72055758552960 has 4096 divisors, whose sum is σ = 315724411699200. Its totient is φ = 13565763256320.

The previous prime is 72055758552941. The next prime is 72055758552997. The reversal of 72055758552960 is 6925585755027.

It is a junction number, because it is equal to n+sod(n) for n = 72055758552891 and 72055758552900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 742842871632 + ... + 742842871728.

It is an arithmetic number, because the mean of its divisors is an integer number (77081155200).

Almost surely, 2^{72055758552960} is an apocalyptic number.

72055758552960 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 72055758552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157862205849600).

72055758552960 is an abundant number, since it is smaller than the sum of its proper divisors (243668653146240).

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

72055758552960 is a wasteful number, since it uses less digits than its factorization.

72055758552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 264600000, while the sum is 66.

The spelling of 72055758552960 in words is "seventy-two trillion, fifty-five billion, seven hundred fifty-eight million, five hundred fifty-two thousand, nine hundred sixty".