42727248 has 60 divisors (see below), whose sum is σ = 122510388. Its totient is φ = 13893120.

The previous prime is 42727247. The next prime is 42727249. The reversal of 42727248 is 84272724.

It is an interprime number because it is at equal distance from previous prime (42727247) and next prime (42727249).

It can be written as a sum of positive squares in 2 ways, for example, as 13046544 + 29680704 = 3612^2 + 5448^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42727247) 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, 2286 + ... + 9522.

Almost surely, 2^42727248 is an apocalyptic number.

42727248 is a gapful number since it is divisible by the number (48) 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 42727248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61255194).

42727248 is an abundant number, since it is smaller than the sum of its proper divisors (79783140).

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

42727248 is a wasteful number, since it uses less digits than its factorization.

42727248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7292 (or 7283 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 42727248 is about 6536.6082948269. The cubic root of 42727248 is about 349.5974910233.

The spelling of 42727248 in words is "forty-two million, seven hundred twenty-seven thousand, two hundred forty-eight".