72950183119824 has 240 divisors, whose sum is σ = 205866999918720. Its totient is φ = 22230287170560.

The previous prime is 72950183119811. The next prime is 72950183119837. The reversal of 72950183119824 is 42891138105927.

It is an interprime number because it is at equal distance from previous prime (72950183119811) and next prime (72950183119837).

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 47 ways as a sum of consecutive naturals, for example, 935135829 + ... + 935213835.

It is an arithmetic number, because the mean of its divisors is an integer number (857779166328).

Almost surely, 2^{72950183119824} 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 72950183119824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102933499959360).

72950183119824 is an abundant number, since it is smaller than the sum of its proper divisors (132916816798896).

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

72950183119824 is a wasteful number, since it uses less digits than its factorization.

72950183119824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79946 (or 79921 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 72950183119824 in words is "seventy-two trillion, nine hundred fifty billion, one hundred eighty-three million, one hundred nineteen thousand, eight hundred twenty-four".