51732000 has 192 divisors, whose sum is σ = 188697600. Its totient is φ = 13766400.

The previous prime is 51731993. The next prime is 51732001. The reversal of 51732000 is 23715.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (51732001) 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 31 ways as a sum of consecutive naturals, for example, 107761 + ... + 108239.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^51732000 is an apocalyptic number.

51732000 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 51732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

51732000 is an abundant number, since it is smaller than the sum of its proper divisors (136965600).

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

51732000 is a wasteful number, since it uses less digits than its factorization.

51732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 51732000 is about 7192.4960896757. The cubic root of 51732000 is about 372.6087846472.

Adding to 51732000 its reverse (23715), we get a palindrome (51755715).

The spelling of 51732000 in words is "fifty-one million, seven hundred thirty-two thousand".