53395872 has 48 divisors (see below), whose sum is σ = 141577632. Its totient is φ = 17619200.

The previous prime is 53395843. The next prime is 53395883. The reversal of 53395872 is 27859335.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×53395872² = 5702238293280768, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6943 + ... + 12449.

It is an arithmetic number, because the mean of its divisors is an integer number (2949534).

Almost surely, 2^53395872 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 53395872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70788816).

53395872 is an abundant number, since it is smaller than the sum of its proper divisors (88181760).

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

53395872 is a wasteful number, since it uses less digits than its factorization.

53395872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5613 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 53395872 is about 7307.2479087547. The cubic root of 53395872 is about 376.5614819288.

It can be divided in two parts, 5339 and 5872, that added together give a palindrome (11211).

The spelling of 53395872 in words is "fifty-three million, three hundred ninety-five thousand, eight hundred seventy-two".