72687583221840 has 1440 divisors, whose sum is σ = 278986355650080. Its totient is φ = 17529493782528.

The previous prime is 72687583221797. The next prime is 72687583221853. The reversal of 72687583221840 is 4812238578627.

72687583221840 is a `hidden beast` number, since 7 + 2 + 6 + 8 + 7 + 583 + 2 + 2 + 1 + 8 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8958719444544 + 63728863777296 = 2993112^2 + 7983036^2 .

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, 66502820334 + ... + 66502821426.

It is an arithmetic number, because the mean of its divisors is an integer number (193740524757).

Almost surely, 2^{72687583221840} 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 72687583221840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139493177825040).

72687583221840 is an abundant number, since it is smaller than the sum of its proper divisors (206298772428240).

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

72687583221840 is a wasteful number, since it uses less digits than its factorization.

72687583221840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 72687583221840 in words is "seventy-two trillion, six hundred eighty-seven billion, five hundred eighty-three million, two hundred twenty-one thousand, eight hundred forty".