72335227979520 has 2880 divisors, whose sum is σ = 316749627532800. Its totient is φ = 15534123909120.

The previous prime is 72335227979491. The next prime is 72335227979563. The reversal of 72335227979520 is 2597972253327.

72335227979520 is a `hidden beast` number, since 7 + 2 + 3 + 35 + 2 + 2 + 7 + 9 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 319 ways as a sum of consecutive naturals, for example, 65939131612 + ... + 65939132708.

It is an arithmetic number, because the mean of its divisors is an integer number (109982509560).

Almost surely, 2^{72335227979520} 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 72335227979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158374813766400).

72335227979520 is an abundant number, since it is smaller than the sum of its proper divisors (244414399553280).

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

72335227979520 is a wasteful number, since it uses less digits than its factorization.

72335227979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 63.

The spelling of 72335227979520 in words is "seventy-two trillion, three hundred thirty-five billion, two hundred twenty-seven million, nine hundred seventy-nine thousand, five hundred twenty".