51966672 has 60 divisors (see below), whose sum is σ = 141732000. Its totient is φ = 16405056.

The previous prime is 51966643. The next prime is 51966701. The reversal of 51966672 is 27666915.

It is an interprime number because it is at equal distance from previous prime (51966643) and next prime (51966701).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15829 + ... + 18827.

It is an arithmetic number, because the mean of its divisors is an integer number (2362200).

Almost surely, 2^51966672 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 51966672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70866000).

51966672 is an abundant number, since it is smaller than the sum of its proper divisors (89765328).

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

51966672 is a wasteful number, since it uses less digits than its factorization.

51966672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3023 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 51966672 is about 7208.7912995176. The cubic root of 51966672 is about 373.1713568884.

The spelling of 51966672 in words is "fifty-one million, nine hundred sixty-six thousand, six hundred seventy-two".