58972080 has 160 divisors (see below), whose sum is σ = 195076800. Its totient is φ = 14708736.

The previous prime is 58972073. The next prime is 58972097. The reversal of 58972080 is 8027985.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257406 + ... + 257634.

It is an arithmetic number, because the mean of its divisors is an integer number (1219230).

Almost surely, 2^58972080 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 58972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97538400).

58972080 is an abundant number, since it is smaller than the sum of its proper divisors (136104720).

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

58972080 is a wasteful number, since it uses less digits than its factorization.

58972080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 58972080 is about 7679.3280956084. The cubic root of 58972080 is about 389.2382237288.

The spelling of 58972080 in words is "fifty-eight million, nine hundred seventy-two thousand, eighty".