4492107072 has 280 divisors, whose sum is σ = 14272869600. Its totient is φ = 1392712704.

The previous prime is 4492107071. The next prime is 4492107089. The reversal of 4492107072 is 2707012944.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4492107071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5810878 + ... + 5811650.

Almost surely, 2^4492107072 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 4492107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136434800).

4492107072 is an abundant number, since it is smaller than the sum of its proper divisors (9780762528).

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

4492107072 is a wasteful number, since it uses less digits than its factorization.

4492107072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4492107072 is about 67023.1830936132. The cubic root of 4492107072 is about 1649.9978049558.

The spelling of 4492107072 in words is "four billion, four hundred ninety-two million, one hundred seven thousand, seventy-two".