58972320 has 384 divisors, whose sum is σ = 241678080. Its totient is φ = 13271040.

The previous prime is 58972297. The next prime is 58972343. The reversal of 58972320 is 2327985.

It is a happy number.

58972320 is a `hidden beast` number, since 589 + 72 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58972297) and next prime (58972343).

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

It is a zygodrome in base 3.

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 63 ways as a sum of consecutive naturals, for example, 807804 + ... + 807876.

It is an arithmetic number, because the mean of its divisors is an integer number (629370).

Almost surely, 2^58972320 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 58972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120839040).

58972320 is an abundant number, since it is smaller than the sum of its proper divisors (182705760).

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

58972320 is a wasteful number, since it uses less digits than its factorization.

58972320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

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

The square root of 58972320 is about 7679.3437219596. The cubic root of 58972320 is about 389.2387517586.

The spelling of 58972320 in words is "fifty-eight million, nine hundred seventy-two thousand, three hundred twenty".