53638272 has 96 divisors (see below), whose sum is σ = 156216060. Its totient is φ = 17664000.

The previous prime is 53638267. The next prime is 53638289. The reversal of 53638272 is 27283635.

It can be written as a sum of positive squares in 2 ways, for example, as 51494976 + 2143296 = 7176^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116122 + ... + 116582.

Almost surely, 2^53638272 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 53638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78108030).

53638272 is an abundant number, since it is smaller than the sum of its proper divisors (102577788).

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

53638272 is a wasteful number, since it uses less digits than its factorization.

53638272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 567 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 53638272 is about 7323.8153990936. The cubic root of 53638272 is about 377.1304442983.

The spelling of 53638272 in words is "fifty-three million, six hundred thirty-eight thousand, two hundred seventy-two".