72530757027414 has 192 divisors, whose sum is σ = 186211564830720. Its totient is φ = 19966135150080.

The previous prime is 72530757027409. The next prime is 72530757027473. The reversal of 72530757027414 is 41472075703527.

72530757027414 is a `hidden beast` number, since 7 + 2 + 5 + 3 + 0 + 7 + 570 + 27 + 41 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7685780704 + ... + 7685790140.

It is an arithmetic number, because the mean of its divisors is an integer number (969851900160).

Almost surely, 2^{72530757027414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72530757027414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93105782415360).

72530757027414 is an abundant number, since it is smaller than the sum of its proper divisors (113680807803306).

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

72530757027414 is a wasteful number, since it uses less digits than its factorization.

72530757027414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17955 (or 17952 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 54.

The spelling of 72530757027414 in words is "seventy-two trillion, five hundred thirty billion, seven hundred fifty-seven million, twenty-seven thousand, four hundred fourteen".