58972 has 12 divisors (see below), whose sum is σ = 107856. Its totient is φ = 28160.

The previous prime is 58967. The next prime is 58979. The reversal of 58972 is 27985.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58979) by changing a digit.

58972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229 + ... + 412.

It is an arithmetic number, because the mean of its divisors is an integer number (8988).

2⁵⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

58972 is a deficient number, since it is larger than the sum of its proper divisors (48884).

58972 is a wasteful number, since it uses less digits than its factorization.

58972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 58972 is about 242.8415121020. The cubic root of 58972 is about 38.9238047719.

The spelling of 58972 in words is "fifty-eight thousand, nine hundred seventy-two".