72314334060640 has 192 divisors, whose sum is σ = 198479112773760. Its totient is φ = 24383396413440.

The previous prime is 72314334060637. The next prime is 72314334060671. The reversal of 72314334060640 is 4606043341327.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479052696 + ... + 479203624.

It is an arithmetic number, because the mean of its divisors is an integer number (1033745379030).

Almost surely, 2^{72314334060640} is an apocalyptic number.

72314334060640 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 72314334060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99239556386880).

72314334060640 is an abundant number, since it is smaller than the sum of its proper divisors (126164778713120).

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

72314334060640 is a wasteful number, since it uses less digits than its factorization.

72314334060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158025 (or 158017 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 43.

The spelling of 72314334060640 in words is "seventy-two trillion, three hundred fourteen billion, three hundred thirty-four million, sixty thousand, six hundred forty".