72950904000 has 672 divisors, whose sum is σ = 286010786880. Its totient is φ = 17639424000.

The previous prime is 72950903957. The next prime is 72950904001. The reversal of 72950904000 is 40905927.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72950904001) by changing a digit.

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, 55223340 + ... + 55224660.

It is an arithmetic number, because the mean of its divisors is an integer number (425611290).

Almost surely, 2^72950904000 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 72950904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143005393440).

72950904000 is an abundant number, since it is smaller than the sum of its proper divisors (213059882880).

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

72950904000 is a wasteful number, since it uses less digits than its factorization.

72950904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 72950904000 in words is "seventy-two billion, nine hundred fifty million, nine hundred four thousand".