368643072 has 264 divisors, whose sum is σ = 1194792960. Its totient is φ = 100638720.

The previous prime is 368643061. The next prime is 368643097. The reversal of 368643072 is 270346863.

It is a self number, because there is not a number n which added to its sum of digits gives 368643072.

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 23 ways as a sum of consecutive naturals, for example, 4666329 + ... + 4666407.

Almost surely, 2^368643072 is an apocalyptic number.

368643072 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 368643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597396480).

368643072 is an abundant number, since it is smaller than the sum of its proper divisors (826149888).

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

368643072 is a wasteful number, since it uses less digits than its factorization.

368643072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 368643072 is about 19200.0799998333. The cubic root of 368643072 is about 717.0267511791.

The spelling of 368643072 in words is "three hundred sixty-eight million, six hundred forty-three thousand, seventy-two".