27225792 has 84 divisors (see below), whose sum is σ = 85151976. Its totient is φ = 8248320.

The previous prime is 27225769. The next prime is 27225797. The reversal of 27225792 is 29752272.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27225797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4188 + ... + 8484.

It is an arithmetic number, because the mean of its divisors is an integer number (1013714).

Almost surely, 2^27225792 is an apocalyptic number.

27225792 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 27225792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42575988).

27225792 is an abundant number, since it is smaller than the sum of its proper divisors (57926184).

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

27225792 is a wasteful number, since it uses less digits than its factorization.

27225792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4313 counting only the distinct ones).

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

The square root of 27225792 is about 5217.8340333897. The cubic root of 27225792 is about 300.8339462972.

The spelling of 27225792 in words is "twenty-seven million, two hundred twenty-five thousand, seven hundred ninety-two".