53118672 has 80 divisors (see below), whose sum is σ = 141657600. Its totient is φ = 17145216.

The previous prime is 53118647. The next prime is 53118677. The reversal of 53118672 is 27681135.

Its product of digits (10080) is a multiple of the sum of its prime factors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53118677) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 266829 + ... + 267027.

It is an arithmetic number, because the mean of its divisors is an integer number (1770720).

Almost surely, 2^53118672 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 53118672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70828800).

53118672 is an abundant number, since it is smaller than the sum of its proper divisors (88538928).

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

53118672 is a wasteful number, since it uses less digits than its factorization.

53118672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 53118672 is about 7288.2557584102. The cubic root of 53118672 is about 375.9087223732.

The spelling of 53118672 in words is "fifty-three million, one hundred eighteen thousand, six hundred seventy-two".