5217120 has 72 divisors (see below), whose sum is σ = 17808336. Its totient is φ = 1390848.

The previous prime is 5217101. The next prime is 5217133. The reversal of 5217120 is 217125.

5217120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5217093 and 5217102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372 + ... + 3251.

It is an arithmetic number, because the mean of its divisors is an integer number (247338).

Almost surely, 2^5217120 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 5217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8904168).

5217120 is an abundant number, since it is smaller than the sum of its proper divisors (12591216).

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

5217120 is a wasteful number, since it uses less digits than its factorization.

5217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 5217120 is about 2284.1015739235. The cubic root of 5217120 is about 173.4377411733.

The spelling of 5217120 in words is "five million, two hundred seventeen thousand, one hundred twenty".