51712000 has 104 divisors (see below), whose sum is σ = 130335192. Its totient is φ = 20480000.

The previous prime is 51711991. The next prime is 51712009. The reversal of 51712000 is 21715.

It is an interprime number because it is at equal distance from previous prime (51711991) and next prime (51712009).

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 51380224 = 576^2 + 7168^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51712009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511950 + ... + 512050.

It is an arithmetic number, because the mean of its divisors is an integer number (1253223).

Almost surely, 2^51712000 is an apocalyptic number.

51712000 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 51712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65167596).

51712000 is an abundant number, since it is smaller than the sum of its proper divisors (78623192).

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

51712000 is an equidigital number, since it uses as much as digits as its factorization.

51712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 51712000 is about 7191.1056173582. The cubic root of 51712000 is about 372.5607606243.

Adding to 51712000 its reverse (21715), we get a palindrome (51733715).

The spelling of 51712000 in words is "fifty-one million, seven hundred twelve thousand".