918072 has 48 divisors (see below), whose sum is σ = 2555280. Its totient is φ = 297600.

The previous prime is 918067. The next prime is 918079. The reversal of 918072 is 270819.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918079) by changing a digit.

918072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2797 + ... + 3107.

It is an arithmetic number, because the mean of its divisors is an integer number (53235).

2⁹¹⁸⁰⁷² 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 918072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277640).

918072 is an abundant number, since it is smaller than the sum of its proper divisors (1637208).

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

918072 is a wasteful number, since it uses less digits than its factorization.

918072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 918072 is about 958.1607380810. The cubic root of 918072 is about 97.1908948439.

It can be divided in two parts, 91807 and 2, that added together give a square (91809 = 303²).

The spelling of 918072 in words is "nine hundred eighteen thousand, seventy-two".