42721248 has 48 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 14103936.

The previous prime is 42721243. The next prime is 42721271. The reversal of 42721248 is 84212724.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42721241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8193 + ... + 12351.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^42721248 is an apocalyptic number.

42721248 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 42721248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

42721248 is an abundant number, since it is smaller than the sum of its proper divisors (70497312).

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

42721248 is a wasteful number, since it uses less digits than its factorization.

42721248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4271 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 42721248 is about 6536.1493250996. The cubic root of 42721248 is about 349.5811261099.

The spelling of 42721248 in words is "forty-two million, seven hundred twenty-one thousand, two hundred forty-eight".