72563807052 has 72 divisors (see below), whose sum is σ = 200373984720. Its totient is φ = 21958945920.

The previous prime is 72563807051. The next prime is 72563807053. The reversal of 72563807052 is 25070836527.

72563807052 is a `hidden beast` number, since 7 + 2 + 5 + 638 + 0 + 7 + 0 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72563807051) and next prime (72563807053).

It is a junction number, because it is equal to n+sod(n) for n = 72563806989 and 72563807007.

It is not an unprimeable number, because it can be changed into a prime (72563807051) 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 23 ways as a sum of consecutive naturals, for example, 165274 + ... + 415262.

It is an arithmetic number, because the mean of its divisors is an integer number (2782972010).

Almost surely, 2^72563807052 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 72563807052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100186992360).

72563807052 is an abundant number, since it is smaller than the sum of its proper divisors (127810177668).

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

72563807052 is a wasteful number, since it uses less digits than its factorization.

72563807052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250743 (or 250738 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 72563807052 in words is "seventy-two billion, five hundred sixty-three million, eight hundred seven thousand, fifty-two".