4272200160 has 192 divisors, whose sum is σ = 14250297600. Its totient is φ = 1072852992.

The previous prime is 4272200137. The next prime is 4272200201. The reversal of 4272200160 is 610022724.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4272200160.

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 31 ways as a sum of consecutive naturals, for example, 1631172 + ... + 1633788.

It is an arithmetic number, because the mean of its divisors is an integer number (74220300).

Almost surely, 2^4272200160 is an apocalyptic number.

4272200160 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 4272200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7125148800).

4272200160 is an abundant number, since it is smaller than the sum of its proper divisors (9978097440).

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

4272200160 is a wasteful number, since it uses less digits than its factorization.

4272200160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4272200160 is about 65362.0697346710. The cubic root of 4272200160 is about 1622.6213922595.

Adding to 4272200160 its reverse (610022724), we get a palindrome (4882222884).

The spelling of 4272200160 in words is "four billion, two hundred seventy-two million, two hundred thousand, one hundred sixty".