72042225 has 24 divisors (see below), whose sum is σ = 119373312. Its totient is φ = 38337600.

The previous prime is 72042203. The next prime is 72042239. The reversal of 72042225 is 52224027.

It is not a de Polignac number, because 72042225 - 2⁶ = 72042161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72042195 and 72042204.

It is an unprimeable number.

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, 48240 + ... + 49710.

It is an arithmetic number, because the mean of its divisors is an integer number (4973888).

Almost surely, 2^72042225 is an apocalyptic number.

72042225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72042225 is a deficient number, since it is larger than the sum of its proper divisors (47331087).

72042225 is a wasteful number, since it uses less digits than its factorization.

72042225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 72042225 is about 8487.7691415354. The cubic root of 72042225 is about 416.0980742170.

The spelling of 72042225 in words is "seventy-two million, forty-two thousand, two hundred twenty-five".