72038935200 has 288 divisors, whose sum is σ = 241526541312. Its totient is φ = 18638848000.

The previous prime is 72038935183. The next prime is 72038935223. The reversal of 72038935200 is 253983027.

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 47 ways as a sum of consecutive naturals, for example, 18792484 + ... + 18796316.

It is an arithmetic number, because the mean of its divisors is an integer number (838633824).

Almost surely, 2^72038935200 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 72038935200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120763270656).

72038935200 is an abundant number, since it is smaller than the sum of its proper divisors (169487606112).

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

72038935200 is a wasteful number, since it uses less digits than its factorization.

72038935200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 72038935200 in words is "seventy-two billion, thirty-eight million, nine hundred thirty-five thousand, two hundred".