72739706359320 has 768 divisors, whose sum is σ = 317480089006080. Its totient is φ = 13948974489600.

The previous prime is 72739706359291. The next prime is 72739706359343. The reversal of 72739706359320 is 2395360793727.

72739706359320 is a `hidden beast` number, since 7 + 2 + 7 + 39 + 7 + 0 + 6 + 3 + 593 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 1830969297 + ... + 1831009023.

It is an arithmetic number, because the mean of its divisors is an integer number (413385532560).

Almost surely, 2^{72739706359320} is an apocalyptic number.

72739706359320 is a gapful number since it is divisible by the number (70) 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 72739706359320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158740044503040).

72739706359320 is an abundant number, since it is smaller than the sum of its proper divisors (244740382646760).

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

72739706359320 is a wasteful number, since it uses less digits than its factorization.

72739706359320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44856 (or 44849 counting only the distinct ones).

The product of its (nonzero) digits is 90016920, while the sum is 63.

The spelling of 72739706359320 in words is "seventy-two trillion, seven hundred thirty-nine billion, seven hundred six million, three hundred fifty-nine thousand, three hundred twenty".