72520297200 has 720 divisors, whose sum is σ = 286363546560. Its totient is φ = 16860856320.

The previous prime is 72520297183. The next prime is 72520297247. The reversal of 72520297200 is 279202527.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95799222 + ... + 95799978.

It is an arithmetic number, because the mean of its divisors is an integer number (397727148).

Almost surely, 2^72520297200 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 72520297200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143181773280).

72520297200 is an abundant number, since it is smaller than the sum of its proper divisors (213843249360).

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

72520297200 is a wasteful number, since it uses less digits than its factorization.

72520297200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 72520297200 its reverse (279202527), we get a palindrome (72799499727).

The spelling of 72520297200 in words is "seventy-two billion, five hundred twenty million, two hundred ninety-seven thousand, two hundred".