93472 has 24 divisors (see below), whose sum is σ = 193536. Its totient is φ = 44352.

The previous prime is 93463. The next prime is 93479. The reversal of 93472 is 27439.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (93479) by changing a digit.

93472 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 in 3 ways as a sum of consecutive naturals, for example, 673 + ... + 799.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2⁹³⁴⁷² is an apocalyptic number.

93472 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

93472 is an abundant number, since it is smaller than the sum of its proper divisors (100064).

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

93472 is a wasteful number, since it uses less digits than its factorization.

93472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The square root of 93472 is about 305.7319087043. The cubic root of 93472 is about 45.3830672945.

It can be divided in two parts, 93 and 472, that added together give a palindrome (565).

The spelling of 93472 in words is "ninety-three thousand, four hundred seventy-two".