5767200 has 180 divisors, whose sum is σ = 21268170. Its totient is φ = 1520640.

The previous prime is 5767189. The next prime is 5767207. The reversal of 5767200 is 27675.

It can be written as a sum of positive squares in 3 ways, for example, as 3370896 + 2396304 = 1836^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5767207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64756 + ... + 64844.

Almost surely, 2^5767200 is an apocalyptic number.

5767200 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 5767200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10634085).

5767200 is an abundant number, since it is smaller than the sum of its proper divisors (15500970).

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

5767200 is a wasteful number, since it uses less digits than its factorization.

5767200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 5767200 is about 2401.4995315427. The cubic root of 5767200 is about 179.3308488421.

It can be divided in two parts, 576 and 7200, that added together give a 5-th power (7776 = 6⁵).

The spelling of 5767200 in words is "five million, seven hundred sixty-seven thousand, two hundred".