5625312 has 96 divisors (see below), whose sum is σ = 18434304. Its totient is φ = 1459200.

The previous prime is 5625281. The next prime is 5625313. The reversal of 5625312 is 2135265.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5625313) 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, 7012 + ... + 7772.

It is an arithmetic number, because the mean of its divisors is an integer number (192024).

Almost surely, 2^5625312 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 5625312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152).

5625312 is an abundant number, since it is smaller than the sum of its proper divisors (12808992).

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

5625312 is a wasteful number, since it uses less digits than its factorization.

5625312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 784 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 5625312 is about 2371.7740195896. The cubic root of 5625312 is about 177.8479533140.

It can be divided in two parts, 56253 and 12, that added together give a palindrome (56265).

The spelling of 5625312 in words is "five million, six hundred twenty-five thousand, three hundred twelve".