72390009328 has 160 divisors (see below), whose sum is σ = 175248783360. Its totient is φ = 28204001280.

The previous prime is 72390009313. The next prime is 72390009337. The reversal of 72390009328 is 82390009327.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 87532851 + ... + 87533677.

It is an arithmetic number, because the mean of its divisors is an integer number (1095304896).

Almost surely, 2^72390009328 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 72390009328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87624391680).

72390009328 is an abundant number, since it is smaller than the sum of its proper divisors (102858774032).

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

72390009328 is a wasteful number, since it uses less digits than its factorization.

72390009328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

Subtracting 72390009328 from its reverse (82390009327), we obtain a palindrome (9999999999).

The spelling of 72390009328 in words is "seventy-two billion, three hundred ninety million, nine thousand, three hundred twenty-eight".