472272608623200 has 1152 divisors, whose sum is σ = 1923125162112000. Its totient is φ = 97799425228800.

The previous prime is 472272608623181. The next prime is 472272608623243. The reversal of 472272608623200 is 2326806272274.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72334597536 + ... + 72334604064.

It is an arithmetic number, because the mean of its divisors is an integer number (1669379481000).

Almost surely, 2^{472272608623200} is an apocalyptic number.

472272608623200 is a gapful number since it is divisible by the number (40) 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 472272608623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961562581056000).

472272608623200 is an abundant number, since it is smaller than the sum of its proper divisors (1450852553488800).

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

472272608623200 is a wasteful number, since it uses less digits than its factorization.

472272608623200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 51.

The spelling of 472272608623200 in words is "four hundred seventy-two trillion, two hundred seventy-two billion, six hundred eight million, six hundred twenty-three thousand, two hundred".