605772 has 48 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 196560.

The previous prime is 605719. The next prime is 605779. The reversal of 605772 is 277506.

605772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (605779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7629 + ... + 7707.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2⁶⁰⁵⁷⁷² 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 605772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

605772 is an abundant number, since it is smaller than the sum of its proper divisors (1007028).

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

605772 is a wasteful number, since it uses less digits than its factorization.

605772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 605772 is about 778.3135614905. The cubic root of 605772 is about 84.6128645997.

It can be divided in two parts, 60 and 5772, that added together give a cube (5832 = 18³).

The spelling of 605772 in words is "six hundred five thousand, seven hundred seventy-two".