232272000 has 192 divisors, whose sum is σ = 834663960. Its totient is φ = 61900800.

The previous prime is 232271987. The next prime is 232272031. The reversal of 232272000 is 272232.

232272000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 81866304 + 150405696 = 9048^2 + 12264^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 143194 + ... + 144806.

Almost surely, 2^232272000 is an apocalyptic number.

232272000 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 232272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417331980).

232272000 is an abundant number, since it is smaller than the sum of its proper divisors (602391960).

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

232272000 is a wasteful number, since it uses less digits than its factorization.

232272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 232272000 is about 15240.4724336223. The cubic root of 232272000 is about 614.7034064606.

The spelling of 232272000 in words is "two hundred thirty-two million, two hundred seventy-two thousand".