72350314283520 has 5120 divisors, whose sum is σ = 350569562112000. Its totient is φ = 13716416102400.

The previous prime is 72350314283497. The next prime is 72350314283531. The reversal of 72350314283520 is 2538241305327.

It is a happy number.

72350314283520 is a `hidden beast` number, since 7 + 2 + 3 + 5 + 0 + 3 + 1 + 42 + 83 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 511 ways as a sum of consecutive naturals, for example, 218581009755 + ... + 218581010085.

It is an arithmetic number, because the mean of its divisors is an integer number (68470617600).

Almost surely, 2^{72350314283520} is an apocalyptic number.

72350314283520 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 72350314283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175284781056000).

72350314283520 is an abundant number, since it is smaller than the sum of its proper divisors (278219247828480).

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

72350314283520 is a wasteful number, since it uses less digits than its factorization.

72350314283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

Adding to 72350314283520 its reverse (2538241305327), we get a palindrome (74888555588847).

The spelling of 72350314283520 in words is "seventy-two trillion, three hundred fifty billion, three hundred fourteen million, two hundred eighty-three thousand, five hundred twenty".