336672 has 72 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 95616.

The previous prime is 336671. The next prime is 336683. The reversal of 336672 is 276633.

336672 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 (72).

It is a super-2 number, since 2×336672² = 226696071168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (336671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1933 + ... + 2099.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2³³⁶⁶⁷² is an apocalyptic number.

336672 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 336672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

336672 is an abundant number, since it is smaller than the sum of its proper divisors (764064).

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

336672 is a wasteful number, since it uses less digits than its factorization.

336672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

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

The square root of 336672 is about 580.2344353794. The cubic root of 336672 is about 69.5668490559.

The spelling of 336672 in words is "three hundred thirty-six thousand, six hundred seventy-two".