72323464752 has 480 divisors, whose sum is σ = 275834916864. Its totient is φ = 17108582400.

The previous prime is 72323464739. The next prime is 72323464777. The reversal of 72323464752 is 25746432327.

72323464752 is a `hidden beast` number, since 7 + 232 + 346 + 4 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72323464698 and 72323464707.

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 95 ways as a sum of consecutive naturals, for example, 5837188 + ... + 5849564.

Almost surely, 2^72323464752 is an apocalyptic number.

72323464752 is a gapful number since it is divisible by the number (72) 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 72323464752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137917458432).

72323464752 is an abundant number, since it is smaller than the sum of its proper divisors (203511452112).

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

72323464752 is a wasteful number, since it uses less digits than its factorization.

72323464752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12457 (or 12448 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 45.

The spelling of 72323464752 in words is "seventy-two billion, three hundred twenty-three million, four hundred sixty-four thousand, seven hundred fifty-two".