336123072 has 84 divisors (see below), whose sum is σ = 1014176280. Its totient is φ = 106140672.

The previous prime is 336123041. The next prime is 336123083. The reversal of 336123072 is 270321633.

336123072 is a `hidden beast` number, since 3 + 361 + 230 + 72 = 666.

It is a super-2 number, since 2×336123072² = 225957439061434368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4413 + ... + 26300.

Almost surely, 2^336123072 is an apocalyptic number.

336123072 is a gapful number since it is divisible by the number (32) 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 336123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507088140).

336123072 is an abundant number, since it is smaller than the sum of its proper divisors (678053208).

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

336123072 is a wasteful number, since it uses less digits than its factorization.

336123072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30750 (or 30737 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 336123072 is about 18333.6595364919. The cubic root of 336123072 is about 695.2901998760.

The spelling of 336123072 in words is "three hundred thirty-six million, one hundred twenty-three thousand, seventy-two".