58923072 has 224 divisors, whose sum is σ = 194015360. Its totient is φ = 17418240.

The previous prime is 58923061. The next prime is 58923077. The reversal of 58923072 is 27032985.

It is a happy number.

58923072 is a `hidden beast` number, since 589 + 2 + 3 + 0 + 72 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 58923072 = 80³ + 388³ = 132³ + 384³.

It is not an unprimeable number, because it can be changed into a prime (58923077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965922 + ... + 965982.

It is an arithmetic number, because the mean of its divisors is an integer number (866140).

Almost surely, 2^58923072 is an apocalyptic number.

58923072 is a gapful number since it is divisible by the number (52) 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 58923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97007680).

58923072 is an abundant number, since it is smaller than the sum of its proper divisors (135092288).

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

58923072 is a wasteful number, since it uses less digits than its factorization.

58923072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 58923072 is about 7676.1365282282. The cubic root of 58923072 is about 389.1303700149.

The spelling of 58923072 in words is "fifty-eight million, nine hundred twenty-three thousand, seventy-two".