5006403072 has 480 divisors, whose sum is σ = 16914854880. Its totient is φ = 1459814400.

The previous prime is 5006403071. The next prime is 5006403107. The reversal of 5006403072 is 2703046005.

It is a happy number.

5006403072 is a `hidden beast` number, since 500 + 64 + 0 + 30 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006403071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68580828 + ... + 68580900.

It is an arithmetic number, because the mean of its divisors is an integer number (35239281).

Almost surely, 2^5006403072 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 5006403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8457427440).

5006403072 is an abundant number, since it is smaller than the sum of its proper divisors (11908451808).

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

5006403072 is a wasteful number, since it uses less digits than its factorization.

5006403072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5006403072 is about 70755.9401887926. The cubic root of 5006403072 is about 1710.7055752480.

Adding to 5006403072 its reverse (2703046005), we get a palindrome (7709449077).

The spelling of 5006403072 in words is "five billion, six million, four hundred three thousand, seventy-two".