72946225 has 48 divisors (see below), whose sum is σ = 108564480. Its totient is φ = 47995200.

The previous prime is 72946217. The next prime is 72946267. The reversal of 72946225 is 52264927.

It is a happy number.

It is not a de Polignac number, because 72946225 - 2³ = 72946217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119872 + ... + 120478.

It is an arithmetic number, because the mean of its divisors is an integer number (2261760).

Almost surely, 2^72946225 is an apocalyptic number.

It is an amenable number.

72946225 is a deficient number, since it is larger than the sum of its proper divisors (35618255).

72946225 is a wasteful number, since it uses less digits than its factorization.

72946225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 665 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 72946225 is about 8540.8562217145. The cubic root of 72946225 is about 417.8312716138.

It can be divided in two parts, 729 and 46225, that multiplied together give a square (33698025 = 5805²).

The spelling of 72946225 in words is "seventy-two million, nine hundred forty-six thousand, two hundred twenty-five".