52680672 has 192 divisors, whose sum is σ = 175633920. Its totient is φ = 15206400.

The previous prime is 52680623. The next prime is 52680679. The reversal of 52680672 is 27608625.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52680679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218472 + ... + 218712.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 2^52680672 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 52680672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

52680672 is an abundant number, since it is smaller than the sum of its proper divisors (122953248).

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

52680672 is a wasteful number, since it uses less digits than its factorization.

52680672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 52680672 is about 7258.1452176159. The cubic root of 52680672 is about 374.8726607641.

The spelling of 52680672 in words is "fifty-two million, six hundred eighty thousand, six hundred seventy-two".