360271872 has 156 divisors (see below), whose sum is σ = 1079737620. Its totient is φ = 115605504.

The previous prime is 360271867. The next prime is 360271883. The reversal of 360271872 is 278172063.

It can be written as a sum of positive squares in 2 ways, for example, as 141705216 + 218566656 = 11904^2 + 14784^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1068888 + ... + 1069224.

It is an arithmetic number, because the mean of its divisors is an integer number (6921395).

Almost surely, 2^360271872 is an apocalyptic number.

360271872 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 360271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539868810).

360271872 is an abundant number, since it is smaller than the sum of its proper divisors (719465748).

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

360271872 is a wasteful number, since it uses less digits than its factorization.

360271872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 360271872 is about 18980.8290651383. The cubic root of 360271872 is about 711.5576935587.

The spelling of 360271872 in words is "three hundred sixty million, two hundred seventy-one thousand, eight hundred seventy-two".