368742272 has 128 divisors (see below), whose sum is σ = 821222400. Its totient is φ = 164229120.

The previous prime is 368742239. The next prime is 368742287. The reversal of 368742272 is 272247863.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (225792) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5051228 + ... + 5051300.

It is an arithmetic number, because the mean of its divisors is an integer number (6415800).

Almost surely, 2^368742272 is an apocalyptic number.

368742272 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 368742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410611200).

368742272 is an abundant number, since it is smaller than the sum of its proper divisors (452480128).

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

368742272 is a wasteful number, since it uses less digits than its factorization.

368742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its digits is 225792, while the sum is 41.

The square root of 368742272 is about 19202.6631486364. The cubic root of 368742272 is about 717.0910615106.

The spelling of 368742272 in words is "three hundred sixty-eight million, seven hundred forty-two thousand, two hundred seventy-two".