360253072 has 40 divisors (see below), whose sum is σ = 736956800. Its totient is φ = 170128512.

The previous prime is 360253067. The next prime is 360253081. The reversal of 360253072 is 270352063.

It is a self number, because there is not a number n which added to its sum of digits gives 360253072.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109954 + ... + 113182.

It is an arithmetic number, because the mean of its divisors is an integer number (18423920).

Almost surely, 2^360253072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360253072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368478400).

360253072 is an abundant number, since it is smaller than the sum of its proper divisors (376703728).

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

360253072 is a wasteful number, since it uses less digits than its factorization.

360253072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 360253072 is about 18980.3338221434. Note that the first 3 decimals coincide. The cubic root of 360253072 is about 711.5453163158.

The spelling of 360253072 in words is "three hundred sixty million, two hundred fifty-three thousand, seventy-two".