53564672 has 72 divisors (see below), whose sum is σ = 124209792. Its totient is φ = 22579200.

The previous prime is 53564669. The next prime is 53564681. The reversal of 53564672 is 27646535.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127022 + ... + 127442.

It is an arithmetic number, because the mean of its divisors is an integer number (1725136).

Almost surely, 2^53564672 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 53564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62104896).

53564672 is an abundant number, since it is smaller than the sum of its proper divisors (70645120).

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

53564672 is an equidigital number, since it uses as much as digits as its factorization.

53564672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its digits is 151200, while the sum is 38.

The square root of 53564672 is about 7318.7889708612. The cubic root of 53564672 is about 376.9578715880.

The spelling of 53564672 in words is "fifty-three million, five hundred sixty-four thousand, six hundred seventy-two".