53712384 has 180 divisors, whose sum is σ = 167080452. Its totient is φ = 15319040.

The previous prime is 53712349. The next prime is 53712389. The reversal of 53712384 is 48321735.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53712389) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3159544 + ... + 3159560.

Almost surely, 2^53712384 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 53712384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83540226).

53712384 is an abundant number, since it is smaller than the sum of its proper divisors (113368068).

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

53712384 is a wasteful number, since it uses less digits than its factorization.

53712384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 33 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 53712384 is about 7328.8733104073. The cubic root of 53712384 is about 377.3040580727.

It can be divided in two parts, 5371238 and 4, that multiplied together give a cube (21484952 = 278³).

The spelling of 53712384 in words is "fifty-three million, seven hundred twelve thousand, three hundred eighty-four".