51727600 has 60 divisors (see below), whose sum is σ = 131603184. Its totient is φ = 19471360.

The previous prime is 51727579. The next prime is 51727603. The reversal of 51727600 is 672715.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51727603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2997 + ... + 10603.

Almost surely, 2^51727600 is an apocalyptic number.

51727600 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 51727600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65801592).

51727600 is an abundant number, since it is smaller than the sum of its proper divisors (79875584).

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

51727600 is a wasteful number, since it uses less digits than its factorization.

51727600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7642 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 51727600 is about 7192.1902088307. The cubic root of 51727600 is about 372.5982204243.

The spelling of 51727600 in words is "fifty-one million, seven hundred twenty-seven thousand, six hundred".