58972160 has 96 divisors (see below), whose sum is σ = 152727120. Its totient is φ = 21725184.

The previous prime is 58972141. The next prime is 58972163. The reversal of 58972160 is 6127985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58972163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132899 + ... + 133341.

Almost surely, 2^58972160 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 58972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76363560).

58972160 is an abundant number, since it is smaller than the sum of its proper divisors (93754960).

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

58972160 is a wasteful number, since it uses less digits than its factorization.

58972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 58972160 is about 7679.3333043956. Note that the first 4 decimals coincide. The cubic root of 58972160 is about 389.2383997389.

The spelling of 58972160 in words is "fifty-eight million, nine hundred seventy-two thousand, one hundred sixty".