53004672 has 192 divisors, whose sum is σ = 182559600. Its totient is φ = 15095808.

The previous prime is 53004671. The next prime is 53004689. The reversal of 53004672 is 27640035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53004671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169188 + ... + 169500.

Almost surely, 2^53004672 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 53004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91279800).

53004672 is an abundant number, since it is smaller than the sum of its proper divisors (129554928).

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

53004672 is a wasteful number, since it uses less digits than its factorization.

53004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 53004672 is about 7280.4307564869. The cubic root of 53004672 is about 375.6396124356.

The spelling of 53004672 in words is "fifty-three million, four thousand, six hundred seventy-two".