58072896 has 112 divisors (see below), whose sum is σ = 195153280. Its totient is φ = 16588800.

The previous prime is 58072849. The next prime is 58072921. The reversal of 58072896 is 69827085.

58072896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×58072896² = 6744922499653632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9696 + ... + 14496.

It is an arithmetic number, because the mean of its divisors is an integer number (1742440).

Almost surely, 2^58072896 is an apocalyptic number.

58072896 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 58072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97576640).

58072896 is an abundant number, since it is smaller than the sum of its proper divisors (137080384).

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

58072896 is a wasteful number, since it uses less digits than its factorization.

58072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 58072896 is about 7620.5574599238. The cubic root of 58072896 is about 387.2497636561.

The spelling of 58072896 in words is "fifty-eight million, seventy-two thousand, eight hundred ninety-six".