53835072 has 56 divisors (see below), whose sum is σ = 143256000. Its totient is φ = 17842176.

The previous prime is 53835071. The next prime is 53835083. The reversal of 53835072 is 27053835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53835071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37504 + ... + 38912.

Almost surely, 2^53835072 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 53835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71628000).

53835072 is an abundant number, since it is smaller than the sum of its proper divisors (89420928).

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

53835072 is a wasteful number, since it uses less digits than its factorization.

53835072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 53835072 is about 7337.2387176648. The cubic root of 53835072 is about 377.5911146525.

The spelling of 53835072 in words is "fifty-three million, eight hundred thirty-five thousand, seventy-two".