292072842 has 24 divisors (see below), whose sum is σ = 641740320. Its totient is φ = 95985960.

The previous prime is 292072841. The next prime is 292072843. The reversal of 292072842 is 248270292.

It is a happy number.

292072842 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (292072841) and next prime (292072843).

It is a junction number, because it is equal to n+sod(n) for n = 292072797 and 292072806.

It is not an unprimeable number, because it can be changed into a prime (292072841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112992 + ... + 115547.

It is an arithmetic number, because the mean of its divisors is an integer number (26739180).

Almost surely, 2^292072842 is an apocalyptic number.

292072842 is an abundant number, since it is smaller than the sum of its proper divisors (349667478).

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

292072842 is a wasteful number, since it uses less digits than its factorization.

292072842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228618 (or 228615 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 292072842 is about 17090.1387355399. The cubic root of 292072842 is about 663.4839051693.

The spelling of 292072842 in words is "two hundred ninety-two million, seventy-two thousand, eight hundred forty-two".