4272523200 has 756 divisors, whose sum is σ = 17667271752. Its totient is φ = 1007769600.

The previous prime is 4272523183. The next prime is 4272523259. The reversal of 4272523200 is 23252724.

4272523200 is a `hidden beast` number, since 427 + 2 + 5 + 232 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 115473582 + ... + 115473618.

Almost surely, 2^4272523200 is an apocalyptic number.

4272523200 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 4272523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8833635876).

4272523200 is an abundant number, since it is smaller than the sum of its proper divisors (13394748552).

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

4272523200 is an equidigital number, since it uses as much as digits as its factorization.

4272523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

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

The square root of 4272523200 is about 65364.5408459357. The cubic root of 4272523200 is about 1622.6622890951.

Adding to 4272523200 its reverse (23252724), we get a palindrome (4295775924).

The spelling of 4272523200 in words is "four billion, two hundred seventy-two million, five hundred twenty-three thousand, two hundred".