51006672 has 70 divisors (see below), whose sum is σ = 148204242. Its totient is φ = 16998336.

The previous prime is 51006671. The next prime is 51006677. The reversal of 51006672 is 27660015.

It can be written as a sum of positive squares in only one way, i.e., 44836416 + 6170256 = 6696^2 + 2484^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51006671) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9478 + ... + 13850.

Almost surely, 2^51006672 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 51006672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74102121).

51006672 is an abundant number, since it is smaller than the sum of its proper divisors (97197570).

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

51006672 is an equidigital number, since it uses as much as digits as its factorization.

51006672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 51006672 is about 7141.8955467019. The cubic root of 51006672 is about 370.8591478838.

Adding to 51006672 its reverse (27660015), we get a palindrome (78666687).

The spelling of 51006672 in words is "fifty-one million, six thousand, six hundred seventy-two".