919072 has 48 divisors (see below), whose sum is σ = 2261952. Its totient is φ = 357120.

The previous prime is 919067. The next prime is 919081. The reversal of 919072 is 270919.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 919072.

It is an unprimeable number.

919072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2278 + ... + 2650.

It is an arithmetic number, because the mean of its divisors is an integer number (47124).

2⁹¹⁹⁰⁷² 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 919072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130976).

919072 is an abundant number, since it is smaller than the sum of its proper divisors (1342880).

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

919072 is a wasteful number, since it uses less digits than its factorization.

919072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 919072 is about 958.6824291704. The cubic root of 919072 is about 97.2261700831.

The spelling of 919072 in words is "nine hundred nineteen thousand, seventy-two".