292672 has 28 divisors (see below), whose sum is σ = 617220. Its totient is φ = 137216.

The previous prime is 292667. The next prime is 292673. The reversal of 292672 is 276292.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 179776 = 336^2 + 424^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 292672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (292673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 954 + ... + 1222.

2²⁹²⁶⁷² 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 292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308610).

292672 is an abundant number, since it is smaller than the sum of its proper divisors (324548).

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

292672 is a wasteful number, since it uses less digits than its factorization.

292672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 292672 is about 540.9916820063. The cubic root of 292672 is about 66.3937285411.

It can be divided in two parts, 29 and 2672, that added together give a triangular number (2701 = T₇₃).

The spelling of 292672 in words is "two hundred ninety-two thousand, six hundred seventy-two".