363069072 has 60 divisors (see below), whose sum is σ = 1032771324. Its totient is φ = 119036160.

The previous prime is 363069059. The next prime is 363069073. The reversal of 363069072 is 270960363.

363069072 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 2 ways, for example, as 173290896 + 189778176 = 13164^2 + 13776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (363069073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11883 + ... + 29450.

Almost surely, 2^363069072 is an apocalyptic number.

It is an amenable number.

363069072 is an abundant number, since it is smaller than the sum of its proper divisors (669702252).

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

363069072 is a wasteful number, since it uses less digits than its factorization.

363069072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41408 (or 41399 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 363069072 is about 19054.3714669364. The cubic root of 363069072 is about 713.3944917042.

The spelling of 363069072 in words is "three hundred sixty-three million, sixty-nine thousand, seventy-two".