368566272 has 84 divisors (see below), whose sum is σ = 1064895000. Its totient is φ = 122830848.

The previous prime is 368566267. The next prime is 368566277. The reversal of 368566272 is 272665863.

It is a happy number.

368566272 is a `hidden beast` number, since 3 + 68 + 566 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (368566267) and next prime (368566277).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368566277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71229 + ... + 76227.

Almost surely, 2^368566272 is an apocalyptic number.

368566272 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 368566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532447500).

368566272 is an abundant number, since it is smaller than the sum of its proper divisors (696328728).

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

368566272 is an equidigital number, since it uses as much as digits as its factorization.

368566272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5004 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 368566272 is about 19198.0799039904. The cubic root of 368566272 is about 716.9769546114.

The spelling of 368566272 in words is "three hundred sixty-eight million, five hundred sixty-six thousand, two hundred seventy-two".