5624352 has 72 divisors (see below), whose sum is σ = 16314480. Its totient is φ = 1837440.

The previous prime is 5624341. The next prime is 5624369. The reversal of 5624352 is 2534265.

5624352 is a `hidden beast` number, since 5 + 624 + 35 + 2 = 666.

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

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, 16827 + ... + 17157.

It is an arithmetic number, because the mean of its divisors is an integer number (226590).

Almost surely, 2^5624352 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 5624352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157240).

5624352 is an abundant number, since it is smaller than the sum of its proper divisors (10690128).

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

5624352 is a wasteful number, since it uses less digits than its factorization.

5624352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 5624352 is about 2371.5716307968. The cubic root of 5624352 is about 177.8378357271.

The spelling of 5624352 in words is "five million, six hundred twenty-four thousand, three hundred fifty-two".