360072 has 32 divisors (see below), whose sum is σ = 1000800. Its totient is φ = 119952.

The previous prime is 360071. The next prime is 360089. The reversal of 360072 is 270063.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (360071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (31275).

2³⁶⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

360072 is an abundant number, since it is smaller than the sum of its proper divisors (640728).

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

360072 is a wasteful number, since it uses less digits than its factorization.

360072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 360072 is about 600.0599970003. The cubic root of 360072 is about 71.1426082981.

Subtracting from 360072 its reverse (270063), we obtain a palindrome (90009).

The spelling of 360072 in words is "three hundred sixty thousand, seventy-two".