27421625 has 72 divisors (see below), whose sum is σ = 44940168. Its totient is φ = 16632000.

The previous prime is 27421619. The next prime is 27421627. The reversal of 27421625 is 52612472.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5929 + 27415696 = 77^2 + 5236^2 .

It is not a de Polignac number, because 27421625 - 2⁸ = 27421369 is a prime.

Its product of digits (6720) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (27421627) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 741107 + ... + 741143.

It is an arithmetic number, because the mean of its divisors is an integer number (624169).

Almost surely, 2^27421625 is an apocalyptic number.

27421625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27421625 is a deficient number, since it is larger than the sum of its proper divisors (17518543).

27421625 is a wasteful number, since it uses less digits than its factorization.

27421625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 27421625 is about 5236.5661458631. The cubic root of 27421625 is about 301.5535154867.

The spelling of 27421625 in words is "twenty-seven million, four hundred twenty-one thousand, six hundred twenty-five".