52407072 has 72 divisors (see below), whose sum is σ = 149791824. Its totient is φ = 17380224.

The previous prime is 52407037. The next prime is 52407077. The reversal of 52407072 is 27070425.

52407072 is a `hidden beast` number, since 524 + 0 + 70 + 72 = 666.

52407072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×52407072² = 5493002391226368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52407077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81183 + ... + 81825.

It is an arithmetic number, because the mean of its divisors is an integer number (2080442).

Almost surely, 2^52407072 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 52407072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74895912).

52407072 is an abundant number, since it is smaller than the sum of its proper divisors (97384752).

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

52407072 is a wasteful number, since it uses less digits than its factorization.

52407072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 52407072 is about 7239.2728916653. The cubic root of 52407072 is about 374.2225600127. Note that the first 3 decimals are identical.

Adding to 52407072 its reverse (27070425), we get a palindrome (79477497).

The spelling of 52407072 in words is "fifty-two million, four hundred seven thousand, seventy-two".