4230072000 has 1008 divisors, whose sum is σ = 19378513440. Its totient is φ = 870912000.

The previous prime is 4230071977. The next prime is 4230072019. The reversal of 4230072000 is 2700324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38807946 + ... + 38808054.

Almost surely, 2^4230072000 is an apocalyptic number.

4230072000 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 4230072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689256720).

4230072000 is an abundant number, since it is smaller than the sum of its proper divisors (15148441440).

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

4230072000 is a wasteful number, since it uses less digits than its factorization.

4230072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 4230072000 is about 65039.0036824058. The cubic root of 4230072000 is about 1617.2702084003.

Adding to 4230072000 its reverse (2700324), we get a palindrome (4232772324).

The spelling of 4230072000 in words is "four billion, two hundred thirty million, seventy-two thousand".