72038023200 has 1728 divisors, whose sum is σ = 321573417984. Its totient is φ = 14929920000.

The previous prime is 72038023193. The next prime is 72038023223. The reversal of 72038023200 is 232083027.

It is a Cunningham number, because it is equal to 268399²-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1180951170 + ... + 1180951230.

It is an arithmetic number, because the mean of its divisors is an integer number (186095728).

Almost surely, 2^72038023200 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 72038023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160786708992).

72038023200 is an abundant number, since it is smaller than the sum of its proper divisors (249535394784).

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

72038023200 is a wasteful number, since it uses less digits than its factorization.

72038023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 72038023200 in words is "seventy-two billion, thirty-eight million, twenty-three thousand, two hundred".