53725872 has 80 divisors (see below), whose sum is σ = 143919360. Its totient is φ = 17260800.

The previous prime is 53725853. The next prime is 53725873. The reversal of 53725872 is 27852735.

53725872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53725872.

It is not an unprimeable number, because it can be changed into a prime (53725873) 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 15 ways as a sum of consecutive naturals, for example, 172597 + ... + 172907.

It is an arithmetic number, because the mean of its divisors is an integer number (1798992).

Almost surely, 2^53725872 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 53725872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71959680).

53725872 is an abundant number, since it is smaller than the sum of its proper divisors (90193488).

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

53725872 is a wasteful number, since it uses less digits than its factorization.

53725872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 53725872 is about 7329.7934486587. The cubic root of 53725872 is about 377.3356377001.

The spelling of 53725872 in words is "fifty-three million, seven hundred twenty-five thousand, eight hundred seventy-two".