332976672 has 144 divisors (see below), whose sum is σ = 1139261760. Its totient is φ = 90118656.

The previous prime is 332976643. The next prime is 332976713. The reversal of 332976672 is 276679233.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×332976672² = 221746928192391168, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33958 + ... + 42650.

It is an arithmetic number, because the mean of its divisors is an integer number (7911540).

Almost surely, 2^332976672 is an apocalyptic number.

332976672 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 332976672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569630880).

332976672 is an abundant number, since it is smaller than the sum of its proper divisors (806285088).

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

332976672 is a wasteful number, since it uses less digits than its factorization.

332976672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8735 (or 8724 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 332976672 is about 18247.6483964373. The cubic root of 332976672 is about 693.1138909410.

The spelling of 332976672 in words is "three hundred thirty-two million, nine hundred seventy-six thousand, six hundred seventy-two".