4813072 has 80 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1971200.

The previous prime is 4813069. The next prime is 4813073. The reversal of 4813072 is 2703184.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4813073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117372 + ... + 117412.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^4813072 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 4813072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4813072 is an abundant number, since it is smaller than the sum of its proper divisors (6436208).

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

4813072 is a wasteful number, since it uses less digits than its factorization.

4813072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 4813072 is about 2193.8714638739. The cubic root of 4813072 is about 168.8395241485.

It can be divided in two parts, 481 and 3072, that added together give a palindrome (3553).

The spelling of 4813072 in words is "four million, eight hundred thirteen thousand, seventy-two".