53582272 has 56 divisors (see below), whose sum is σ = 112471200. Its totient is φ = 25276416.

The previous prime is 53582267. The next prime is 53582323. The reversal of 53582272 is 27228535.

It is a zygodrome in base 2.

It is a congruent number.

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, 130804 + ... + 131212.

Almost surely, 2^53582272 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 53582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56235600).

53582272 is an abundant number, since it is smaller than the sum of its proper divisors (58888928).

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

53582272 is a wasteful number, since it uses less digits than its factorization.

53582272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 523 counting only the distinct ones).

The product of its digits is 33600, while the sum is 34.

The square root of 53582272 is about 7319.9912568254. The cubic root of 53582272 is about 376.9991533494. Note that the first 3 decimals are identical.

The spelling of 53582272 in words is "fifty-three million, five hundred eighty-two thousand, two hundred seventy-two".