185072 has 20 divisors (see below), whose sum is σ = 368280. Its totient is φ = 90048.

The previous prime is 185071. The next prime is 185077. The reversal of 185072 is 270581.

185072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 554 + ... + 822.

It is an arithmetic number, because the mean of its divisors is an integer number (18414).

2¹⁸⁵⁰⁷² is an apocalyptic number.

It is an amenable number.

185072 is a deficient number, since it is larger than the sum of its proper divisors (183208).

185072 is a wasteful number, since it uses less digits than its factorization.

185072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 185072 is about 430.1999535100. The cubic root of 185072 is about 56.9875832192.

The spelling of 185072 in words is "one hundred eighty-five thousand, seventy-two".