305772 has 24 divisors (see below), whose sum is σ = 724416. Its totient is φ = 100368.

The previous prime is 305771. The next prime is 305783. The reversal of 305772 is 277503.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305772.

It is not an unprimeable number, because it can be changed into a prime (305771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 843 + ... + 1149.

It is an arithmetic number, because the mean of its divisors is an integer number (30184).

2³⁰⁵⁷⁷² is an apocalyptic number.

It is an amenable number.

305772 is an abundant number, since it is smaller than the sum of its proper divisors (418644).

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

305772 is a wasteful number, since it uses less digits than its factorization.

305772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 305772 is about 552.9665451002. The cubic root of 305772 is about 67.3699002982.

The spelling of 305772 in words is "three hundred five thousand, seven hundred seventy-two".