305372 has 6 divisors (see below), whose sum is σ = 534408. Its totient is φ = 152684.

The previous prime is 305369. The next prime is 305377. The reversal of 305372 is 273503.

305372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a pancake number, because a pancake can be divided into 305372 parts by 781 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38168 + ... + 38175.

It is an arithmetic number, because the mean of its divisors is an integer number (89068).

2³⁰⁵³⁷² is an apocalyptic number.

It is an amenable number.

305372 is a deficient number, since it is larger than the sum of its proper divisors (229036).

305372 is a wasteful number, since it uses less digits than its factorization.

305372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76347 (or 76345 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 305372 is about 552.6047412030. The cubic root of 305372 is about 67.3405105138.

Adding to 305372 its reverse (273503), we get a palindrome (578875).

It can be divided in two parts, 3053 and 72, that added together give a 5-th power (3125 = 5⁵).

The spelling of 305372 in words is "three hundred five thousand, three hundred seventy-two".