72939836736 has 168 divisors, whose sum is σ = 232915617480. Its totient is φ = 21669064704.

The previous prime is 72939836699. The next prime is 72939836771. The reversal of 72939836736 is 63763893927.

72939836736 is a `hidden beast` number, since 72 + 93 + 98 + 367 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3370499136 + 69569337600 = 58056^2 + 263760^2 .

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 23 ways as a sum of consecutive naturals, for example, 49206 + ... + 385098.

It is an arithmetic number, because the mean of its divisors is an integer number (1386402485).

Almost surely, 2^72939836736 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 72939836736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116457808740).

72939836736 is an abundant number, since it is smaller than the sum of its proper divisors (159975780744).

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

72939836736 is a wasteful number, since it uses less digits than its factorization.

72939836736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335953 (or 335940 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 63.

The spelling of 72939836736 in words is "seventy-two billion, nine hundred thirty-nine million, eight hundred thirty-six thousand, seven hundred thirty-six".