72350718720 has 576 divisors, whose sum is σ = 271927219200. Its totient is φ = 16387080192.

The previous prime is 72350718719. The next prime is 72350718733. The reversal of 72350718720 is 2781705327.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214690392 + ... + 214690728.

Almost surely, 2^72350718720 is an apocalyptic number.

72350718720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72350718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135963609600).

72350718720 is an abundant number, since it is smaller than the sum of its proper divisors (199576500480).

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

72350718720 is a wasteful number, since it uses less digits than its factorization.

72350718720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 72350718720 in words is "seventy-two billion, three hundred fifty million, seven hundred eighteen thousand, seven hundred twenty".