368595072 has 96 divisors (see below), whose sum is σ = 1080862380. Its totient is φ = 120526848.

The previous prime is 368594983. The next prime is 368595083. The reversal of 368595072 is 270595863.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 367718976 + 876096 = 19176^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 58038 + ... + 64074.

Almost surely, 2^368595072 is an apocalyptic number.

368595072 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 368595072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540431190).

368595072 is an abundant number, since it is smaller than the sum of its proper divisors (712267308).

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

368595072 is a wasteful number, since it uses less digits than its factorization.

368595072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110 (or 6095 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 368595072 is about 19198.8299643494. The cubic root of 368595072 is about 716.9956291348.

The spelling of 368595072 in words is "three hundred sixty-eight million, five hundred ninety-five thousand, seventy-two".