442200072 has 64 divisors (see below), whose sum is σ = 1166443200. Its totient is φ = 139311360.

The previous prime is 442200071. The next prime is 442200113. The reversal of 442200072 is 270002244.

It is not an unprimeable number, because it can be changed into a prime (442200071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253122 + ... + 254862.

It is an arithmetic number, because the mean of its divisors is an integer number (18225675).

Almost surely, 2^442200072 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 442200072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583221600).

442200072 is an abundant number, since it is smaller than the sum of its proper divisors (724243128).

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

442200072 is a wasteful number, since it uses less digits than its factorization.

442200072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 442200072 is about 21028.5537305826. The cubic root of 442200072 is about 761.8560774195.

The spelling of 442200072 in words is "four hundred forty-two million, two hundred thousand, seventy-two".