293472 has 36 divisors (see below), whose sum is σ = 835380. Its totient is φ = 97728.

The previous prime is 293467. The next prime is 293473. The reversal of 293472 is 274392.

293472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×293472² = 172251629568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293473) by changing a digit.

293472 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 5 ways as a sum of consecutive naturals, for example, 222 + ... + 797.

It is an arithmetic number, because the mean of its divisors is an integer number (23205).

2²⁹³⁴⁷² is an apocalyptic number.

It is an amenable number.

293472 is an abundant number, since it is smaller than the sum of its proper divisors (541908).

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

293472 is a wasteful number, since it uses less digits than its factorization.

293472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1024 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 293472 is about 541.7305603342. The cubic root of 293472 is about 66.4541678278.

The spelling of 293472 in words is "two hundred ninety-three thousand, four hundred seventy-two".