917072 has 20 divisors (see below), whose sum is σ = 1913940. Its totient is φ = 423168.

The previous prime is 917053. The next prime is 917083. The reversal of 917072 is 270719.

It can be written as a sum of positive squares in 2 ways, for example, as 99856 + 817216 = 316^2 + 904^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 917072.

It is an unprimeable number.

917072 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 3 ways as a sum of consecutive naturals, for example, 1997 + ... + 2412.

It is an arithmetic number, because the mean of its divisors is an integer number (95697).

2⁹¹⁷⁰⁷² is an apocalyptic number.

It is an amenable number.

917072 is an abundant number, since it is smaller than the sum of its proper divisors (996868).

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

917072 is a wasteful number, since it uses less digits than its factorization.

917072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 917072 is about 957.6387627911. The cubic root of 917072 is about 97.1555939800.

The spelling of 917072 in words is "nine hundred seventeen thousand, seventy-two".