72114873352704 has 960 divisors, whose sum is σ = 265596920709120. Its totient is φ = 18323948666880.

The previous prime is 72114873352601. The next prime is 72114873352721. The reversal of 72114873352704 is 40725337841127.

72114873352704 is a `hidden beast` number, since 7 + 2 + 1 + 1 + 4 + 87 + 33 + 527 + 0 + 4 = 666.

It is a super-2 number, since 2×72114873352704² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2950798917 + ... + 2950823355.

It is an arithmetic number, because the mean of its divisors is an integer number (276663459072).

Almost surely, 2^{72114873352704} 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 72114873352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132798460354560).

72114873352704 is an abundant number, since it is smaller than the sum of its proper divisors (193482047356416).

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

72114873352704 is a wasteful number, since it uses less digits than its factorization.

72114873352704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24741 (or 24722 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 72114873352704 in words is "seventy-two trillion, one hundred fourteen billion, eight hundred seventy-three million, three hundred fifty-two thousand, seven hundred four".