5309872 has 40 divisors (see below), whose sum is σ = 10999296. Its totient is φ = 2477376.

The previous prime is 5309861. The next prime is 5309891. The reversal of 5309872 is 2789035.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 5³ + 3¹⁴ + 0 + 9² + 8 + 7⁴ + 2¹⁹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17143 + ... + 17449.

Almost surely, 2^5309872 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 5309872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648).

5309872 is an abundant number, since it is smaller than the sum of its proper divisors (5689424).

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

5309872 is a wasteful number, since it uses less digits than its factorization.

5309872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 5309872 is about 2304.3159505589. The cubic root of 5309872 is about 174.4595243326.

The spelling of 5309872 in words is "five million, three hundred nine thousand, eight hundred seventy-two".