5377200 has 60 divisors (see below), whose sum is σ = 17228808. Its totient is φ = 1433600.

The previous prime is 5377187. The next prime is 5377231. The reversal of 5377200 is 27735.

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

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

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, 1041 + ... + 3440.

Almost surely, 2^5377200 is an apocalyptic number.

5377200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5377200 is an abundant number, since it is smaller than the sum of its proper divisors (11851608).

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

5377200 is a wasteful number, since it uses less digits than its factorization.

5377200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 5377200 is about 2318.8790395361. The cubic root of 5377200 is about 175.1937989090.

The spelling of 5377200 in words is "five million, three hundred seventy-seven thousand, two hundred".