72303038976 has 640 divisors, whose sum is σ = 245127168000. Its totient is φ = 18858147840.

The previous prime is 72303038971. The next prime is 72303038987. The reversal of 72303038976 is 67983030327.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (72303038971) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 310313356 + ... + 310313588.

It is an arithmetic number, because the mean of its divisors is an integer number (383011200).

Almost surely, 2^72303038976 is an apocalyptic number.

72303038976 is a gapful number since it is divisible by the number (76) 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 72303038976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563584000).

72303038976 is an abundant number, since it is smaller than the sum of its proper divisors (172824129024).

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

72303038976 is a wasteful number, since it uses less digits than its factorization.

72303038976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 72303038976 in words is "seventy-two billion, three hundred three million, thirty-eight thousand, nine hundred seventy-six".