72558867568320 has 2016 divisors, whose sum is σ = 299339761593600. Its totient is φ = 16080296214528.

The previous prime is 72558867568277. The next prime is 72558867568333. The reversal of 72558867568320 is 2386576885527.

72558867568320 is a `hidden beast` number, since 7 + 2 + 5 + 58 + 8 + 6 + 7 + 568 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 247641186094 + ... + 247641186386.

It is an arithmetic number, because the mean of its divisors is an integer number (148482024600).

Almost surely, 2^{72558867568320} is an apocalyptic number.

72558867568320 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 72558867568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149669880796800).

72558867568320 is an abundant number, since it is smaller than the sum of its proper divisors (226780894025280).

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

72558867568320 is a wasteful number, since it uses less digits than its factorization.

72558867568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 72558867568320 in words is "seventy-two trillion, five hundred fifty-eight billion, eight hundred sixty-seven million, five hundred sixty-eight thousand, three hundred twenty".