58536072 has 192 divisors, whose sum is σ = 193015680. Its totient is φ = 15676416.

The previous prime is 58536067. The next prime is 58536089. The reversal of 58536072 is 27063585.

58536072 is a `hidden beast` number, since 58 + 536 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801828 + ... + 801900.

It is an arithmetic number, because the mean of its divisors is an integer number (1005290).

Almost surely, 2^58536072 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 58536072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96507840).

58536072 is an abundant number, since it is smaller than the sum of its proper divisors (134479608).

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

58536072 is a wasteful number, since it uses less digits than its factorization.

58536072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

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

The square root of 58536072 is about 7650.8870073999. The cubic root of 58536072 is about 388.2765768125.

It can be divided in two parts, 58 and 536072, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 58536072 in words is "fifty-eight million, five hundred thirty-six thousand, seventy-two".