360272000 has 256 divisors, whose sum is σ = 1031097600. Its totient is φ = 123904000.

The previous prime is 360271999. The next prime is 360272027. The reversal of 360272000 is 272063.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 4047956 + ... + 4048044.

It is an arithmetic number, because the mean of its divisors is an integer number (4027725).

Almost surely, 2^360272000 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 360272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515548800).

360272000 is an abundant number, since it is smaller than the sum of its proper divisors (670825600).

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

360272000 is a wasteful number, since it uses less digits than its factorization.

360272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 360272000 is about 18980.8324369612. The cubic root of 360272000 is about 711.5577778278.

The spelling of 360272000 in words is "three hundred sixty million, two hundred seventy-two thousand".