331772000 has 288 divisors, whose sum is σ = 1013777856. Its totient is φ = 104448000.

The previous prime is 331771991. The next prime is 331772029. The reversal of 331772000 is 277133.

It is a super-2 number, since 2×331772000² = 220145319968000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8091980 + ... + 8092020.

It is an arithmetic number, because the mean of its divisors is an integer number (3520062).

Almost surely, 2^331772000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506888928).

331772000 is an abundant number, since it is smaller than the sum of its proper divisors (682005856).

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

331772000 is a wasteful number, since it uses less digits than its factorization.

331772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 331772000 is about 18214.6095209313. The cubic root of 331772000 is about 692.2770116191.

The spelling of 331772000 in words is "three hundred thirty-one million, seven hundred seventy-two thousand".