72315803430 has 256 divisors, whose sum is σ = 220416940800. Its totient is φ = 16713768960.

The previous prime is 72315803411. The next prime is 72315803467. The reversal of 72315803430 is 3430851327.

72315803430 is a `hidden beast` number, since 7 + 2 + 31 + 580 + 3 + 43 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 30370840 + ... + 30373220.

It is an arithmetic number, because the mean of its divisors is an integer number (861003675).

Almost surely, 2^72315803430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72315803430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110208470400).

72315803430 is an abundant number, since it is smaller than the sum of its proper divisors (148101137370).

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

72315803430 is a wasteful number, since it uses less digits than its factorization.

72315803430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 72315803430 in words is "seventy-two billion, three hundred fifteen million, eight hundred three thousand, four hundred thirty".