27972225 has 72 divisors (see below), whose sum is σ = 54317952. Its totient is φ = 13708800.

The previous prime is 27972179. The next prime is 27972229. The reversal of 27972225 is 52227972.

It is not a de Polignac number, because 27972225 - 2¹⁰ = 27971201 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27972225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27972229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 271524 + ... + 271626.

It is an arithmetic number, because the mean of its divisors is an integer number (754416).

Almost surely, 2^27972225 is an apocalyptic number.

27972225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27972225 is a deficient number, since it is larger than the sum of its proper divisors (26345727).

27972225 is a wasteful number, since it uses less digits than its factorization.

27972225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 27972225 is about 5288.8774801464. The cubic root of 27972225 is about 303.5584577091.

The spelling of 27972225 in words is "twenty-seven million, nine hundred seventy-two thousand, two hundred twenty-five".