72329998464 has 320 divisors, whose sum is σ = 233497063800. Its totient is φ = 22136094720.

The previous prime is 72329998427. The next prime is 72329998501. The reversal of 72329998464 is 46489992327.

It is an interprime number because it is at equal distance from previous prime (72329998427) and next prime (72329998501).

It can be written as a sum of positive squares in 4 ways, for example, as 70394702400 + 1935296064 = 265320^2 + 43992^2 .

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 39 ways as a sum of consecutive naturals, for example, 7221492 + ... + 7231500.

Almost surely, 2^72329998464 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 72329998464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116748531900).

72329998464 is an abundant number, since it is smaller than the sum of its proper divisors (161167065336).

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

72329998464 is a wasteful number, since it uses less digits than its factorization.

72329998464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10093 (or 10072 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 72329998464 in words is "seventy-two billion, three hundred twenty-nine million, nine hundred ninety-eight thousand, four hundred sixty-four".