72861120000 has 600 divisors, whose sum is σ = 272791535016. Its totient is φ = 19408896000.

The previous prime is 72861119959. The next prime is 72861120023. The reversal of 72861120000 is 2116827.

72861120000 is a `hidden beast` number, since 7 + 28 + 611 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77759532 + ... + 77760468.

Almost surely, 2^72861120000 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 72861120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136395767508).

72861120000 is an abundant number, since it is smaller than the sum of its proper divisors (199930415016).

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

72861120000 is an frugal number, since it uses more digits than its factorization.

72861120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 72861120000 its reverse (2116827), we get a palindrome (72863236827).

The spelling of 72861120000 in words is "seventy-two billion, eight hundred sixty-one million, one hundred twenty thousand".