6751200 has 144 divisors (see below), whose sum is σ = 22967280. Its totient is φ = 1720320.

The previous prime is 6751189. The next prime is 6751231. The reversal of 6751200 is 21576.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69552 + ... + 69648.

It is an arithmetic number, because the mean of its divisors is an integer number (159495).

Almost surely, 2^6751200 is an apocalyptic number.

6751200 is a gapful number since it is divisible by the number (60) 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 6751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483640).

6751200 is an abundant number, since it is smaller than the sum of its proper divisors (16216080).

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

6751200 is a wasteful number, since it uses less digits than its factorization.

6751200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 6751200 is about 2598.3071411979. The cubic root of 6751200 is about 188.9993561189. Note that the first 3 decimals are identical.

Adding to 6751200 its reverse (21576), we get a palindrome (6772776).

It can be divided in two parts, 675 and 1200, that multiplied together give a 4-th power (810000 = 30⁴).

The spelling of 6751200 in words is "six million, seven hundred fifty-one thousand, two hundred".