53585172 has 48 divisors (see below), whose sum is σ = 140253120. Its totient is φ = 17690976.

The previous prime is 53585167. The next prime is 53585179. The reversal of 53585172 is 27158535.

53585172 is a `hidden beast` number, since 5 + 3 + 585 + 1 + 72 = 666.

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 (53585179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9238 + ... + 13874.

It is an arithmetic number, because the mean of its divisors is an integer number (2921940).

Almost surely, 2^53585172 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 53585172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70126560).

53585172 is an abundant number, since it is smaller than the sum of its proper divisors (86667948).

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

53585172 is a wasteful number, since it uses less digits than its factorization.

53585172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4749 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 53585172 is about 7320.1893418135. The cubic root of 53585172 is about 377.0059545903.

It can be divided in two parts, 53 and 585172, that added together give a square (585225 = 765²).

The spelling of 53585172 in words is "fifty-three million, five hundred eighty-five thousand, one hundred seventy-two".