53839872 has 144 divisors (see below), whose sum is σ = 163537920. Its totient is φ = 17031168.

The previous prime is 53839871. The next prime is 53839873. The reversal of 53839872 is 27893835.

53839872 is a `hidden beast` number, since 538 + 39 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (53839871) and next prime (53839873).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (53839871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423873 + ... + 423999.

It is an arithmetic number, because the mean of its divisors is an integer number (1135680).

Almost surely, 2^53839872 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 53839872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81768960).

53839872 is an abundant number, since it is smaller than the sum of its proper divisors (109698048).

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

53839872 is a wasteful number, since it uses less digits than its factorization.

53839872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 53839872 is about 7337.5658089042. The cubic root of 53839872 is about 377.6023364789.

The spelling of 53839872 in words is "fifty-three million, eight hundred thirty-nine thousand, eight hundred seventy-two".