5077200 has 60 divisors (see below), whose sum is σ = 16267808. Its totient is φ = 1353600.

The previous prime is 5077157. The next prime is 5077201. The reversal of 5077200 is 27705.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 916 + ... + 3315.

Almost surely, 2^5077200 is an apocalyptic number.

5077200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5077200 is an abundant number, since it is smaller than the sum of its proper divisors (11190608).

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

5077200 is a wasteful number, since it uses less digits than its factorization.

5077200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 5077200 is about 2253.2642987453. The cubic root of 5077200 is about 171.8731713304.

The spelling of 5077200 in words is "five million, seventy-seven thousand, two hundred".