73225 has 12 divisors (see below), whose sum is σ = 94860. Its totient is φ = 56000.

The previous prime is 73189. The next prime is 73237. The reversal of 73225 is 52237.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1936 + 71289 = 44^2 + 267^2 .

It is not a de Polignac number, because 73225 - 2¹³ = 65033 is a prime.

Its product of digits (420) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675 + ... + 775.

It is an arithmetic number, because the mean of its divisors is an integer number (7905).

2⁷³²²⁵ is an apocalyptic number.

73225 is the 145-th nonagonal number.

It is an amenable number.

73225 is a deficient number, since it is larger than the sum of its proper divisors (21635).

73225 is a wasteful number, since it uses less digits than its factorization.

73225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 135 counting only the distinct ones).

The product of its digits is 420, while the sum is 19.

The square root of 73225 is about 270.6011825547. The cubic root of 73225 is about 41.8362863408.

It can be divided in two parts, 732 and 25, that added together give a palindrome (757).

The spelling of 73225 in words is "seventy-three thousand, two hundred twenty-five".