72610285063680 has 5760 divisors, whose sum is σ = 358977630211200. Its totient is φ = 13402179108864.

The previous prime is 72610285063669. The next prime is 72610285063711. The reversal of 72610285063680 is 8636058201627.

72610285063680 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 0 + 28 + 506 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 575 ways as a sum of consecutive naturals, for example, 1370005378534 + ... + 1370005378586.

It is an arithmetic number, because the mean of its divisors is an integer number (62322505245).

Almost surely, 2^{72610285063680} is an apocalyptic number.

72610285063680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72610285063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179488815105600).

72610285063680 is an abundant number, since it is smaller than the sum of its proper divisors (286367345147520).

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

72610285063680 is a wasteful number, since it uses less digits than its factorization.

72610285063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 72610285063680 in words is "seventy-two trillion, six hundred ten billion, two hundred eighty-five million, sixty-three thousand, six hundred eighty".