58052736 has 192 divisors, whose sum is σ = 199854720. Its totient is φ = 15814656.

The previous prime is 58052719. The next prime is 58052747. The reversal of 58052736 is 63725085.

58052736 is a `hidden beast` number, since 580 + 5 + 2 + 73 + 6 = 666.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 58052736.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 185316 + ... + 185628.

It is an arithmetic number, because the mean of its divisors is an integer number (1040910).

Almost surely, 2^58052736 is an apocalyptic number.

58052736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58052736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99927360).

58052736 is an abundant number, since it is smaller than the sum of its proper divisors (141801984).

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

58052736 is a wasteful number, since it uses less digits than its factorization.

58052736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 58052736 is about 7619.2346072293. The cubic root of 58052736 is about 387.2049472309.

The spelling of 58052736 in words is "fifty-eight million, fifty-two thousand, seven hundred thirty-six".