72410224320 has 672 divisors, whose sum is σ = 314663693760. Its totient is φ = 15575777280.

The previous prime is 72410224267. The next prime is 72410224321. The reversal of 72410224320 is 2342201427.

72410224320 is a `hidden beast` number, since 7 + 2 + 410 + 2 + 243 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72410224321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7192090 + ... + 7202150.

Almost surely, 2^72410224320 is an apocalyptic number.

72410224320 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 72410224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157331846880).

72410224320 is an abundant number, since it is smaller than the sum of its proper divisors (242253469440).

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

72410224320 is a wasteful number, since it uses less digits than its factorization.

72410224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10095 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 72410224320 its reverse (2342201427), we get a palindrome (74752425747).

The spelling of 72410224320 in words is "seventy-two billion, four hundred ten million, two hundred twenty-four thousand, three hundred twenty".