231072000 has 288 divisors, whose sum is σ = 803537280. Its totient is φ = 58777600.

The previous prime is 231071999. The next prime is 231072001. The reversal of 231072000 is 270132.

It is an interprime number because it is at equal distance from previous prime (231071999) and next prime (231072001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (231072001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2783959 + ... + 2784041.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2^231072000 is an apocalyptic number.

231072000 is a gapful number since it is divisible by the number (20) 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 231072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401768640).

231072000 is an abundant number, since it is smaller than the sum of its proper divisors (572465280).

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

231072000 is an equidigital number, since it uses as much as digits as its factorization.

231072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 231072000 is about 15201.0525951330. The cubic root of 231072000 is about 613.6429858370.

The spelling of 231072000 in words is "two hundred thirty-one million, seventy-two thousand".