5372800 has 96 divisors (see below), whose sum is σ = 14039280. Its totient is φ = 2027520.

The previous prime is 5372771. The next prime is 5372803. The reversal of 5372800 is 82735.

5372800 = T₁₉₅ + T₁₉₆ + ... + T₃₄₀.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5372803) 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, 73564 + ... + 73636.

Almost surely, 2^5372800 is an apocalyptic number.

5372800 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 5372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019640).

5372800 is an abundant number, since it is smaller than the sum of its proper divisors (8666480).

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

5372800 is a wasteful number, since it uses less digits than its factorization.

5372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 5372800 is about 2317.9301111121. The cubic root of 5372800 is about 175.1460006084.

The spelling of 5372800 in words is "five million, three hundred seventy-two thousand, eight hundred".