5963872 has 48 divisors (see below), whose sum is σ = 13109040. Its totient is φ = 2654208.

The previous prime is 5963869. The next prime is 5963899. The reversal of 5963872 is 2783695.

5963872 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 5⁹ + 9⁴ + 6⁷ + 3¹³ + 8⁵ + 7 + 2²¹ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10048 + ... + 10624.

It is an arithmetic number, because the mean of its divisors is an integer number (273105).

Almost surely, 2^5963872 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 5963872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554520).

5963872 is an abundant number, since it is smaller than the sum of its proper divisors (7145168).

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

5963872 is a wasteful number, since it uses less digits than its factorization.

5963872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 5963872 is about 2442.1040108890. The cubic root of 5963872 is about 181.3466085052.

The spelling of 5963872 in words is "five million, nine hundred sixty-three thousand, eight hundred seventy-two".