51996672 has 288 divisors, whose sum is σ = 190794240. Its totient is φ = 13271040.

The previous prime is 51996661. The next prime is 51996677. The reversal of 51996672 is 27669915.

It is a happy number.

51996672 is a `hidden beast` number, since 519 + 9 + 66 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×51996672³ (a number of 24 digits) contains 333 as substring.

Its product of digits (204120) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (51996677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677297 + ... + 1677327.

It is an arithmetic number, because the mean of its divisors is an integer number (662480).

Almost surely, 2^51996672 is an apocalyptic number.

51996672 is a gapful number since it is divisible by the number (52) 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 51996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95397120).

51996672 is an abundant number, since it is smaller than the sum of its proper divisors (138797568).

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

51996672 is a wasteful number, since it uses less digits than its factorization.

51996672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 51996672 is about 7210.8717919541. The cubic root of 51996672 is about 373.2431528214.

The spelling of 51996672 in words is "fifty-one million, nine hundred ninety-six thousand, six hundred seventy-two".