331667072 has 32 divisors (see below), whose sum is σ = 720813600. Its totient is φ = 150757120.

The previous prime is 331667051. The next prime is 331667129. The reversal of 331667072 is 270766133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×331667072² = 220006093298106368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116372 + ... + 119187.

It is an arithmetic number, because the mean of its divisors is an integer number (22525425).

Almost surely, 2^331667072 is an apocalyptic number.

331667072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331667072 is an abundant number, since it is smaller than the sum of its proper divisors (389146528).

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

331667072 is a wasteful number, since it uses less digits than its factorization.

331667072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235584 (or 235572 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The square root of 331667072 is about 18211.7289678932. The cubic root of 331667072 is about 692.2040228383.

The spelling of 331667072 in words is "three hundred thirty-one million, six hundred sixty-seven thousand, seventy-two".