58472 has 8 divisors (see below), whose sum is σ = 109650. Its totient is φ = 29232.

The previous prime is 58453. The next prime is 58477. The reversal of 58472 is 27485.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 7396 = 226^2 + 86^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58472.

It is not an unprimeable number, because it can be changed into a prime (58477) by changing a digit.

58472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3647 + ... + 3662.

2⁵⁸⁴⁷² is an apocalyptic number.

It is an amenable number.

58472 is a deficient number, since it is larger than the sum of its proper divisors (51178).

58472 is a wasteful number, since it uses less digits than its factorization.

58472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7315 (or 7311 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 58472 is about 241.8098426450. The cubic root of 58472 is about 38.8134859416.

It can be divided in two parts, 584 and 72, that added together give a palindrome (656).

The spelling of 58472 in words is "fifty-eight thousand, four hundred seventy-two".