72558994114800 has 1440 divisors, whose sum is σ = 282212861845824. Its totient is φ = 17836277760000.

The previous prime is 72558994114753. The next prime is 72558994114829. The reversal of 72558994114800 is 841149985527.

72558994114800 is a `hidden beast` number, since 7 + 2 + 5 + 58 + 9 + 94 + 11 + 480 + 0 = 666.

It is a congruent number.

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, 25904673400 + ... + 25904676200.

Almost surely, 2^{72558994114800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72558994114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141106430922912).

72558994114800 is an abundant number, since it is smaller than the sum of its proper divisors (209653867731024).

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

72558994114800 is a wasteful number, since it uses less digits than its factorization.

72558994114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 72558994114800 in words is "seventy-two trillion, five hundred fifty-eight billion, nine hundred ninety-four million, one hundred fourteen thousand, eight hundred".