72978225 has 48 divisors (see below), whose sum is σ = 124396800. Its totient is φ = 37739520.

The previous prime is 72978223. The next prime is 72978271. The reversal of 72978225 is 52287927.

It is a happy number.

It is not a de Polignac number, because 72978225 - 2¹ = 72978223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72978223) 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 47 ways as a sum of consecutive naturals, for example, 645769 + ... + 645881.

It is an arithmetic number, because the mean of its divisors is an integer number (2591600).

Almost surely, 2^72978225 is an apocalyptic number.

72978225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72978225 is a deficient number, since it is larger than the sum of its proper divisors (51418575).

72978225 is a wasteful number, since it uses less digits than its factorization.

72978225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 72978225 is about 8542.7293647873. The cubic root of 72978225 is about 417.8923606605.

The spelling of 72978225 in words is "seventy-two million, nine hundred seventy-eight thousand, two hundred twenty-five".