72351347904 has 336 divisors, whose sum is σ = 234790305120. Its totient is φ = 21831321600.

The previous prime is 72351347903. The next prime is 72351347909. The reversal of 72351347904 is 40974315327.

72351347904 is a `hidden beast` number, since 7 + 2 + 3 + 513 + 47 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72351347904.

It is not an unprimeable number, because it can be changed into a prime (72351347903) by changing a digit.

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, 61262194 + ... + 61263374.

It is an arithmetic number, because the mean of its divisors is an integer number (698780670).

Almost surely, 2^72351347904 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 72351347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117395152560).

72351347904 is an abundant number, since it is smaller than the sum of its proper divisors (162438957216).

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

72351347904 is a wasteful number, since it uses less digits than its factorization.

72351347904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 72351347904 in words is "seventy-two billion, three hundred fifty-one million, three hundred forty-seven thousand, nine hundred four".