51732800 has 168 divisors, whose sum is σ = 151180800. Its totient is φ = 17049600.

The previous prime is 51732799. The next prime is 51732803. The reversal of 51732800 is 823715.

It is a self number, because there is not a number n which added to its sum of digits gives 51732800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51732803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347126 + ... + 347274.

Almost surely, 2^51732800 is an apocalyptic number.

51732800 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 51732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75590400).

51732800 is an abundant number, since it is smaller than the sum of its proper divisors (99448000).

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

51732800 is a wasteful number, since it uses less digits than its factorization.

51732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 51732800 is about 7192.5517029772. The cubic root of 51732800 is about 372.6107053506.

The spelling of 51732800 in words is "fifty-one million, seven hundred thirty-two thousand, eight hundred".