72618729948 has 36 divisors (see below), whose sum is σ = 187027488648. Its totient is φ = 23749521120.

The previous prime is 72618729943. The next prime is 72618730007. The reversal of 72618729948 is 84992781627.

72618729948 is a `hidden beast` number, since 7 + 2 + 618 + 7 + 2 + 9 + 9 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72618729943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19028158 + ... + 19031973.

It is an arithmetic number, because the mean of its divisors is an integer number (5195208018).

Almost surely, 2^72618729948 is an apocalyptic number.

It is an amenable number.

72618729948 is an abundant number, since it is smaller than the sum of its proper divisors (114408758700).

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

72618729948 is a wasteful number, since it uses less digits than its factorization.

72618729948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38060194 (or 38060189 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 72618729948 in words is "seventy-two billion, six hundred eighteen million, seven hundred twenty-nine thousand, nine hundred forty-eight".