42572023200 has 1728 divisors, whose sum is σ = 197706096000. Its totient is φ = 8778792960.

The previous prime is 42572023163. The next prime is 42572023217. The reversal of 42572023200 is 232027524.

42572023200 is a `hidden beast` number, since 4 + 257 + 202 + 3 + 200 = 666.

42572023200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 583178364 + ... + 583178436.

It is an arithmetic number, because the mean of its divisors is an integer number (114413250).

Almost surely, 2^42572023200 is an apocalyptic number.

42572023200 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 42572023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98853048000).

42572023200 is an abundant number, since it is smaller than the sum of its proper divisors (155134072800).

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

42572023200 is a wasteful number, since it uses less digits than its factorization.

42572023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 42572023200 in words is "forty-two billion, five hundred seventy-two million, twenty-three thousand, two hundred".