27572952 has 128 divisors (see below), whose sum is σ = 82944000. Its totient is φ = 7539840.

The previous prime is 27572947. The next prime is 27572957. The reversal of 27572952 is 25927572.

It is an interprime number because it is at equal distance from previous prime (27572947) and next prime (27572957).

It is a self number, because there is not a number n which added to its sum of digits gives 27572952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27572957) 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 31 ways as a sum of consecutive naturals, for example, 115249 + ... + 115487.

It is an arithmetic number, because the mean of its divisors is an integer number (648000).

Almost surely, 2^27572952 is an apocalyptic number.

27572952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27572952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41472000).

27572952 is an abundant number, since it is smaller than the sum of its proper divisors (55371048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27572952 is a wasteful number, since it uses less digits than its factorization.

27572952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 27572952 is about 5250.9953342200. The cubic root of 27572952 is about 302.1072086951.

The spelling of 27572952 in words is "twenty-seven million, five hundred seventy-two thousand, nine hundred fifty-two".