72303055657560 has 1152 divisors, whose sum is σ = 307479484166400. Its totient is φ = 15145220643840.

The previous prime is 72303055657559. The next prime is 72303055657579. The reversal of 72303055657560 is 6575655030327.

72303055657560 is a `hidden beast` number, since 7 + 2 + 3 + 0 + 3 + 0 + 5 + 5 + 6 + 575 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72303055657497 and 72303055657506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 860595955 + ... + 860679965.

It is an arithmetic number, because the mean of its divisors is an integer number (266909274450).

Almost surely, 2^{72303055657560} is an apocalyptic number.

72303055657560 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 72303055657560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153739742083200).

72303055657560 is an abundant number, since it is smaller than the sum of its proper divisors (235176428508840).

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

72303055657560 is a wasteful number, since it uses less digits than its factorization.

72303055657560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84203 (or 84180 counting only the distinct ones).

The product of its (nonzero) digits is 19845000, while the sum is 54.

The spelling of 72303055657560 in words is "seventy-two trillion, three hundred three billion, fifty-five million, six hundred fifty-seven thousand, five hundred sixty".