72661980268800 has 2160 divisors, whose sum is σ = 295378697053440. Its totient is φ = 17515782144000.

The previous prime is 72661980268783. The next prime is 72661980268807. The reversal of 72661980268800 is 886208916627.

72661980268800 is a `hidden beast` number, since 7 + 2 + 6 + 619 + 8 + 0 + 2 + 6 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is not an unprimeable number, because it can be changed into a prime (72661980268807) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 86605458781 + ... + 86605459619.

It is an arithmetic number, because the mean of its divisors is an integer number (136749396784).

Almost surely, 2^{72661980268800} 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 72661980268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147689348526720).

72661980268800 is an abundant number, since it is smaller than the sum of its proper divisors (222716716784640).

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

72661980268800 is a wasteful number, since it uses less digits than its factorization.

72661980268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 72661980268800 in words is "seventy-two trillion, six hundred sixty-one billion, nine hundred eighty million, two hundred sixty-eight thousand, eight hundred".