4959072 has 72 divisors (see below), whose sum is σ = 14368536. Its totient is φ = 1622016.

The previous prime is 4959049. The next prime is 4959079. The reversal of 4959072 is 2709594.

It is a tau number, because it is divible by the number of its divisors (72).

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 (4959079) 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 11 ways as a sum of consecutive naturals, for example, 19168 + ... + 19424.

It is an arithmetic number, because the mean of its divisors is an integer number (199563).

Almost surely, 2^4959072 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 4959072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184268).

4959072 is an abundant number, since it is smaller than the sum of its proper divisors (9409464).

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

4959072 is a wasteful number, since it uses less digits than its factorization.

4959072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 4959072 is about 2226.8973932357. The cubic root of 4959072 is about 170.5297431506.

The spelling of 4959072 in words is "four million, nine hundred fifty-nine thousand, seventy-two".