72709024315590 has 144 divisors (see below), whose sum is σ = 204711821402400. Its totient is φ = 17896910653440.

The previous prime is 72709024315583. The next prime is 72709024315651. The reversal of 72709024315590 is 9551342090727.

72709024315590 is a `hidden beast` number, since 7 + 2 + 7 + 0 + 9 + 0 + 2 + 43 + 1 + 5 + 590 = 666.

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 469470486 + ... + 469625334.

It is an arithmetic number, because the mean of its divisors is an integer number (1421609870850).

Almost surely, 2^{72709024315590} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72709024315590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102355910701200).

72709024315590 is an abundant number, since it is smaller than the sum of its proper divisors (132002797086810).

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

72709024315590 is a wasteful number, since it uses less digits than its factorization.

72709024315590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185759 (or 185743 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 72709024315590 in words is "seventy-two trillion, seven hundred nine billion, twenty-four million, three hundred fifteen thousand, five hundred ninety".