58995072 has 96 divisors (see below), whose sum is σ = 172088280. Its totient is φ = 19396608.

The previous prime is 58995071. The next prime is 58995073. The reversal of 58995072 is 27059985.

It is a happy number.

58995072 is a `hidden beast` number, since 58 + 99 + 507 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (58995071) and next prime (58995073).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58995071) 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, 95308 + ... + 95924.

Almost surely, 2^58995072 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 58995072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86044140).

58995072 is an abundant number, since it is smaller than the sum of its proper divisors (113093208).

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

58995072 is a wasteful number, since it uses less digits than its factorization.

58995072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 58995072 is about 7680.8249556932. The cubic root of 58995072 is about 389.2888024797.

The spelling of 58995072 in words is "fifty-eight million, nine hundred ninety-five thousand, seventy-two".