72113857190784 has 768 divisors, whose sum is σ = 223955391628800. Its totient is φ = 22206165811200.

The previous prime is 72113857190779. The next prime is 72113857190831. The reversal of 72113857190784 is 48709175831127.

72113857190784 is a `hidden beast` number, since 7 + 21 + 1 + 38 + 571 + 9 + 0 + 7 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62006755387 + ... + 62006756549.

It is an arithmetic number, because the mean of its divisors is an integer number (291608582850).

Almost surely, 2^{72113857190784} 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 72113857190784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111977695814400).

72113857190784 is an abundant number, since it is smaller than the sum of its proper divisors (151841534438016).

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

72113857190784 is a wasteful number, since it uses less digits than its factorization.

72113857190784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 72113857190784 in words is "seventy-two trillion, one hundred thirteen billion, eight hundred fifty-seven million, one hundred ninety thousand, seven hundred eighty-four".