51272760 has 256 divisors, whose sum is σ = 199065600. Its totient is φ = 10252800.

The previous prime is 51272759. The next prime is 51272761. The reversal of 51272760 is 6727215.

It is an interprime number because it is at equal distance from previous prime (51272759) and next prime (51272761).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51272761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286351 + ... + 286529.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 2^51272760 is an apocalyptic number.

It is a pronic number, being equal to 7160×7161.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51272760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99532800).

51272760 is an abundant number, since it is smaller than the sum of its proper divisors (147792840).

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

51272760 is a wasteful number, since it uses less digits than its factorization.

51272760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 51272760 is about 7160.4999825431. The cubic root of 51272760 is about 371.5029203096.

Adding to 51272760 its reverse (6727215), we get a palindrome (57999975).

It can be divided in two parts, 5127 and 2760, that added together give a palindrome (7887).

The spelling of 51272760 in words is "fifty-one million, two hundred seventy-two thousand, seven hundred sixty".