5672800 has 72 divisors (see below), whose sum is σ = 15842736. Its totient is φ = 1943040.

The previous prime is 5672767. The next prime is 5672809. The reversal of 5672800 is 82765.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5672809) 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, 5094 + ... + 6106.

It is an arithmetic number, because the mean of its divisors is an integer number (220038).

Almost surely, 2^5672800 is an apocalyptic number.

5672800 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 5672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921368).

5672800 is an abundant number, since it is smaller than the sum of its proper divisors (10169936).

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

5672800 is a wasteful number, since it uses less digits than its factorization.

5672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 5672800 is about 2381.7640521261. The cubic root of 5672800 is about 178.3470064535.

It can be divided in two parts, 567 and 2800, that multiplied together give a square (1587600 = 1260²).

The spelling of 5672800 in words is "five million, six hundred seventy-two thousand, eight hundred".