27952575 has 48 divisors (see below), whose sum is σ = 54282240. Its totient is φ = 12424320.

The previous prime is 27952559. The next prime is 27952577. The reversal of 27952575 is 57525972.

It is a happy number.

It is not a de Polignac number, because 27952575 - 2⁴ = 27952559 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27952577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18706 + ... + 20144.

It is an arithmetic number, because the mean of its divisors is an integer number (1130880).

Almost surely, 2^27952575 is an apocalyptic number.

27952575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27952575 is the 4317-th pentagonal number.

27952575 is a deficient number, since it is larger than the sum of its proper divisors (26329665).

27952575 is a wasteful number, since it uses less digits than its factorization.

27952575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1491 counting only the distinct ones).

The product of its digits is 220500, while the sum is 42.

The square root of 27952575 is about 5287.0194817118. The cubic root of 27952575 is about 303.4873595514.

The spelling of 27952575 in words is "twenty-seven million, nine hundred fifty-two thousand, five hundred seventy-five".