53584272 has 240 divisors, whose sum is σ = 188023680. Its totient is φ = 13897728.

The previous prime is 53584249. The next prime is 53584283. The reversal of 53584272 is 27248535.

53584272 is a `hidden beast` number, since 5 + 3 + 584 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (67200) is a multiple of the sum of its prime factors (150).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908179 + ... + 908237.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 2^53584272 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 53584272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94011840).

53584272 is an abundant number, since it is smaller than the sum of its proper divisors (134439408).

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

53584272 is a wasteful number, since it uses less digits than its factorization.

53584272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 53584272 is about 7320.1278677356. The cubic root of 53584272 is about 377.0038438866.

The spelling of 53584272 in words is "fifty-three million, five hundred eighty-four thousand, two hundred seventy-two".