785972 has 12 divisors (see below), whose sum is σ = 1500576. Its totient is φ = 357240.

The previous prime is 785963. The next prime is 786001. The reversal of 785972 is 279587.

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 785972.

It is an unprimeable number.

785972 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8888 + ... + 8975.

It is an arithmetic number, because the mean of its divisors is an integer number (125048).

2⁷⁸⁵⁹⁷² is an apocalyptic number.

It is an amenable number.

785972 is a deficient number, since it is larger than the sum of its proper divisors (714604).

785972 is a wasteful number, since it uses less digits than its factorization.

785972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17878 (or 17876 counting only the distinct ones).

The product of its digits is 35280, while the sum is 38.

The square root of 785972 is about 886.5506189722. The cubic root of 785972 is about 92.2859721688.

The spelling of 785972 in words is "seven hundred eighty-five thousand, nine hundred seventy-two".