51072120 has 160 divisors (see below), whose sum is σ = 187395120. Its totient is φ = 12372480.

The previous prime is 51072113. The next prime is 51072137. The reversal of 51072120 is 2127015.

It is a super-2 number, since 2×51072120² = 5216722882588800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 51072093 and 51072102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34924 + ... + 36356.

Almost surely, 2^51072120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93697560).

51072120 is an abundant number, since it is smaller than the sum of its proper divisors (136323000).

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

51072120 is a wasteful number, since it uses less digits than its factorization.

51072120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 51072120 is about 7146.4760546720. The cubic root of 51072120 is about 371.0176997922.

Adding to 51072120 its reverse (2127015), we get a palindrome (53199135).

It can be divided in two parts, 5107 and 2120, that added together give a palindrome (7227).

The spelling of 51072120 in words is "fifty-one million, seventy-two thousand, one hundred twenty".