72002225 has 24 divisors (see below), whose sum is σ = 95136768. Its totient is φ = 53868800.

The previous prime is 72002221. The next prime is 72002237. The reversal of 72002225 is 52220027.

It is not a de Polignac number, because 72002225 - 2² = 72002221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72002197 and 72002206.

It is not an unprimeable number, because it can be changed into a prime (72002221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80732 + ... + 81618.

It is an arithmetic number, because the mean of its divisors is an integer number (3964032).

Almost surely, 2^72002225 is an apocalyptic number.

It is an amenable number.

72002225 is a deficient number, since it is larger than the sum of its proper divisors (23134543).

72002225 is a wasteful number, since it uses less digits than its factorization.

72002225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 72002225 is about 8485.4124826080. The cubic root of 72002225 is about 416.0210499241.

It can be divided in two parts, 72002 and 225, that added together give a palindrome (72227).

The spelling of 72002225 in words is "seventy-two million, two thousand, two hundred twenty-five".