5312720 has 80 divisors (see below), whose sum is σ = 14463360. Its totient is φ = 1777152.

The previous prime is 5312689. The next prime is 5312737. The reversal of 5312720 is 272135.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5312692 and 5312701.

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 15 ways as a sum of consecutive naturals, for example, 29591 + ... + 29769.

It is an arithmetic number, because the mean of its divisors is an integer number (180792).

Almost surely, 2^5312720 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 5312720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231680).

5312720 is an abundant number, since it is smaller than the sum of its proper divisors (9150640).

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

5312720 is a wasteful number, since it uses less digits than its factorization.

5312720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 5312720 is about 2304.9338385299. The cubic root of 5312720 is about 174.4907097623.

Adding to 5312720 its reverse (272135), we get a palindrome (5584855).

The spelling of 5312720 in words is "five million, three hundred twelve thousand, seven hundred twenty".