72874808550720 has 896 divisors, whose sum is σ = 301023467527680. Its totient is φ = 16399608053760.

The previous prime is 72874808550689. The next prime is 72874808550727. The reversal of 72874808550720 is 2705580847827.

72874808550720 is a `hidden beast` number, since 7 + 2 + 8 + 7 + 4 + 8 + 0 + 8 + 550 + 72 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72874808550727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117635704 + ... + 118253576.

Almost surely, 2^{72874808550720} 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 72874808550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150511733763840).

72874808550720 is an abundant number, since it is smaller than the sum of its proper divisors (228148658976960).

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

72874808550720 is a wasteful number, since it uses less digits than its factorization.

72874808550720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618000 (or 617984 counting only the distinct ones).

The product of its (nonzero) digits is 70246400, while the sum is 63.

The spelling of 72874808550720 in words is "seventy-two trillion, eight hundred seventy-four billion, eight hundred eight million, five hundred fifty thousand, seven hundred twenty".