72539131392 has 960 divisors, whose sum is σ = 275257382400. Its totient is φ = 18560876544.

The previous prime is 72539131391. The next prime is 72539131433. The reversal of 72539131392 is 29313193527.

72539131392 is a `hidden beast` number, since 7 + 2 + 539 + 13 + 13 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72539131391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 486839734 + ... + 486839882.

It is an arithmetic number, because the mean of its divisors is an integer number (286726440).

Almost surely, 2^72539131392 is an apocalyptic number.

72539131392 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72539131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137628691200).

72539131392 is an abundant number, since it is smaller than the sum of its proper divisors (202718251008).

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

72539131392 is a wasteful number, since it uses less digits than its factorization.

72539131392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 217 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The spelling of 72539131392 in words is "seventy-two billion, five hundred thirty-nine million, one hundred thirty-one thousand, three hundred ninety-two".