5379200 has 72 divisors (see below), whose sum is σ = 13620315. Its totient is φ = 2099200.

The previous prime is 5379167. The next prime is 5379203. The reversal of 5379200 is 29735.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 33856 + 5345344 = 184^2 + 2312^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1640.

It is a self number, because there is not a number n which added to its sum of digits gives 5379200.

It is not an unprimeable number, because it can be changed into a prime (5379203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 131180 + ... + 131220.

Almost surely, 2^5379200 is an apocalyptic number.

5379200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5379200

5379200 is an abundant number, since it is smaller than the sum of its proper divisors (8241115).

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

5379200 is an equidigital number, since it uses as much as digits as its factorization.

5379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 5379200 is about 2319.3102422919. The cubic root of 5379200 is about 175.2155167898.

The spelling of 5379200 in words is "five million, three hundred seventy-nine thousand, two hundred".