51272000 has 224 divisors, whose sum is σ = 149778720. Its totient is φ = 17203200.

The previous prime is 51271967. The next prime is 51272009. The reversal of 51272000 is 27215.

It can be written as a sum of positive squares in 16 ways, for example, as 37847104 + 13424896 = 6152^2 + 3664^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 51272000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51272009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1767986 + ... + 1768014.

It is an arithmetic number, because the mean of its divisors is an integer number (668655).

Almost surely, 2^51272000 is an apocalyptic number.

51272000 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 51272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74889360).

51272000 is an abundant number, since it is smaller than the sum of its proper divisors (98506720).

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

51272000 is a wasteful number, since it uses less digits than its factorization.

51272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 51272000 is about 7160.4469134266. The cubic root of 51272000 is about 371.5010847435.

Adding to 51272000 its reverse (27215), we get a palindrome (51299215).

The spelling of 51272000 in words is "fifty-one million, two hundred seventy-two thousand".