5305872 has 80 divisors (see below), whose sum is σ = 16123968. Its totient is φ = 1482240.

The previous prime is 5305871. The next prime is 5305879. The reversal of 5305872 is 2785035.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5305871) 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, 6478 + ... + 7250.

Almost surely, 2^5305872 is an apocalyptic number.

5305872 is a gapful number since it is divisible by the number (52) 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 5305872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061984).

5305872 is an abundant number, since it is smaller than the sum of its proper divisors (10818096).

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

5305872 is a wasteful number, since it uses less digits than its factorization.

5305872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 5305872 is about 2303.4478505058. The cubic root of 5305872 is about 174.4157057370.

The spelling of 5305872 in words is "five million, three hundred five thousand, eight hundred seventy-two".