72863546760 has 160 divisors (see below), whose sum is σ = 245067863040. Its totient is φ = 19417159296.

The previous prime is 72863546737. The next prime is 72863546761. The reversal of 72863546760 is 6764536827.

72863546760 is a `hidden beast` number, since 7 + 28 + 6 + 3 + 546 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72863546697 and 72863546706.

It is not an unprimeable number, because it can be changed into a prime (72863546761) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5381359 + ... + 5394881.

It is an arithmetic number, because the mean of its divisors is an integer number (1531674144).

Almost surely, 2^72863546760 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 72863546760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122533931520).

72863546760 is an abundant number, since it is smaller than the sum of its proper divisors (172204316280).

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

72863546760 is a wasteful number, since it uses less digits than its factorization.

72863546760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15209 (or 15196 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 72863546760 in words is "seventy-two billion, eight hundred sixty-three million, five hundred forty-six thousand, seven hundred sixty".