72071143200 has 720 divisors, whose sum is σ = 305581066560. Its totient is φ = 16188180480.

The previous prime is 72071143169. The next prime is 72071143219. The reversal of 72071143200 is 234117027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 26761054 + ... + 26763746.

It is an arithmetic number, because the mean of its divisors is an integer number (424418148).

Almost surely, 2^72071143200 is an apocalyptic number.

72071143200 is a gapful number since it is divisible by the number (70) 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 72071143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152790533280).

72071143200 is an abundant number, since it is smaller than the sum of its proper divisors (233509923360).

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

72071143200 is a wasteful number, since it uses less digits than its factorization.

72071143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 72071143200 in words is "seventy-two billion, seventy-one million, one hundred forty-three thousand, two hundred".