331272000 has 336 divisors, whose sum is σ = 1223906112. Its totient is φ = 85478400.

The previous prime is 331271987. The next prime is 331272023. The reversal of 331272000 is 272133.

It is a super-2 number, since 2×331272000² = 219482275968000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3095947 + ... + 3096053.

Almost surely, 2^331272000 is an apocalyptic number.

331272000 is a gapful number since it is divisible by the number (30) 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 331272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611953056).

331272000 is an abundant number, since it is smaller than the sum of its proper divisors (892634112).

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

331272000 is a wasteful number, since it uses less digits than its factorization.

331272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 331272000 is about 18200.8790996479. The cubic root of 331272000 is about 691.9290693222.

The spelling of 331272000 in words is "three hundred thirty-one million, two hundred seventy-two thousand".