363231072 has 144 divisors (see below), whose sum is σ = 1075576320. Its totient is φ = 116176896.

The previous prime is 363231067. The next prime is 363231073. The reversal of 363231072 is 270132363.

363231072 is a `hidden beast` number, since 363 + 231 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363231073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 948193 + ... + 948575.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2^363231072 is an apocalyptic number.

363231072 is a gapful number since it is divisible by the number (32) 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 363231072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537788160).

363231072 is an abundant number, since it is smaller than the sum of its proper divisors (712345248).

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

363231072 is a wasteful number, since it uses less digits than its factorization.

363231072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 363231072 is about 19058.6219858625. The cubic root of 363231072 is about 713.5005805377.

The spelling of 363231072 in words is "three hundred sixty-three million, two hundred thirty-one thousand, seventy-two".