292072 has 16 divisors (see below), whose sum is σ = 597600. Its totient is φ = 132720.

The previous prime is 292069. The next prime is 292079. The reversal of 292072 is 270292.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (292079) 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, 1572 + ... + 1747.

It is an arithmetic number, because the mean of its divisors is an integer number (37350).

2²⁹²⁰⁷² is an apocalyptic number.

292072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

292072 is an abundant number, since it is smaller than the sum of its proper divisors (305528).

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

292072 is a wasteful number, since it uses less digits than its factorization.

292072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 292072 is about 540.4368603269. The cubic root of 292072 is about 66.3483267595.

It can be divided in two parts, 2920 and 72, that added together give a palindrome (2992).

The spelling of 292072 in words is "two hundred ninety-two thousand, seventy-two".