72263653936908 has 432 divisors, whose sum is σ = 207749650711680. Its totient is φ = 19482133063680.

The previous prime is 72263653936897. The next prime is 72263653936919. The reversal of 72263653936908 is 80963935636227.

It is an interprime number because it is at equal distance from previous prime (72263653936897) and next prime (72263653936919).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16012329660 + ... + 16012334172.

It is an arithmetic number, because the mean of its divisors is an integer number (480901969240).

Almost surely, 2^{72263653936908} 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 72263653936908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103874825355840).

72263653936908 is an abundant number, since it is smaller than the sum of its proper divisors (135485996774772).

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

72263653936908 is a wasteful number, since it uses less digits than its factorization.

72263653936908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 69.

The spelling of 72263653936908 in words is "seventy-two trillion, two hundred sixty-three billion, six hundred fifty-three million, nine hundred thirty-six thousand, nine hundred eight".