52561872 has 120 divisors (see below), whose sum is σ = 166551840. Its totient is φ = 15914880.

The previous prime is 52561853. The next prime is 52561879. The reversal of 52561872 is 27816525.

It is a happy number.

52561872 is a `hidden beast` number, since 525 + 61 + 8 + 72 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52561879) 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, 42154 + ... + 43382.

It is an arithmetic number, because the mean of its divisors is an integer number (1387932).

Almost surely, 2^52561872 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 52561872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83275920).

52561872 is an abundant number, since it is smaller than the sum of its proper divisors (113989968).

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

52561872 is a wasteful number, since it uses less digits than its factorization.

52561872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1245 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 52561872 is about 7249.9566895258. The cubic root of 52561872 is about 374.5906573321.

The spelling of 52561872 in words is "fifty-two million, five hundred sixty-one thousand, eight hundred seventy-two".