72256552200 has 480 divisors, whose sum is σ = 287594271360. Its totient is φ = 16470604800.

The previous prime is 72256552187. The next prime is 72256552231. The reversal of 72256552200 is 225565227.

It is a happy number.

72256552200 is a `hidden beast` number, since 7 + 22 + 565 + 52 + 20 + 0 = 666.

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 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, 59080789 + ... + 59082011.

It is an arithmetic number, because the mean of its divisors is an integer number (599154732).

Almost surely, 2^72256552200 is an apocalyptic number.

72256552200 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 72256552200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143797135680).

72256552200 is an abundant number, since it is smaller than the sum of its proper divisors (215337719160).

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

72256552200 is a wasteful number, since it uses less digits than its factorization.

72256552200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 72256552200 in words is "seventy-two billion, two hundred fifty-six million, five hundred fifty-two thousand, two hundred".