72303225 has 24 divisors (see below), whose sum is σ = 119923872. Its totient is φ = 38438400.

The previous prime is 72303221. The next prime is 72303229. The reversal of 72303225 is 52230327.

It is an interprime number because it is at equal distance from previous prime (72303221) and next prime (72303229).

It is not a de Polignac number, because 72303225 - 2² = 72303221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72303195 and 72303204.

It is not an unprimeable number, because it can be changed into a prime (72303221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25110 + ... + 27840.

It is an arithmetic number, because the mean of its divisors is an integer number (4996828).

Almost surely, 2^72303225 is an apocalyptic number.

72303225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72303225 is a deficient number, since it is larger than the sum of its proper divisors (47620647).

72303225 is a wasteful number, since it uses less digits than its factorization.

72303225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 72303225 is about 8503.1303059520. The cubic root of 72303225 is about 416.5999590986.

It can be divided in two parts, 7230322 and 5, that added together give a palindrome (7230327).

The spelling of 72303225 in words is "seventy-two million, three hundred three thousand, two hundred twenty-five".