72424627200 has 660 divisors, whose sum is σ = 273654505080. Its totient is φ = 18920079360.

The previous prime is 72424627153. The next prime is 72424627271. The reversal of 72424627200 is 272642427.

72424627200 is a `hidden beast` number, since 7 + 2 + 4 + 2 + 4 + 627 + 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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 109900471 + ... + 109901129.

It is an arithmetic number, because the mean of its divisors is an integer number (414628038).

Almost surely, 2^72424627200 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 72424627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136827252540).

72424627200 is an abundant number, since it is smaller than the sum of its proper divisors (201229877880).

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

72424627200 is a wasteful number, since it uses less digits than its factorization.

72424627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 72424627200 in words is "seventy-two billion, four hundred twenty-four million, six hundred twenty-seven thousand, two hundred".