42666272 has 48 divisors (see below), whose sum is σ = 93405312. Its totient is φ = 19019520.

The previous prime is 42666269. The next prime is 42666287. The reversal of 42666272 is 27266624.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17513 + ... + 19799.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 2^42666272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42666272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702656).

42666272 is an abundant number, since it is smaller than the sum of its proper divisors (50739040).

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

42666272 is a wasteful number, since it uses less digits than its factorization.

42666272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2353 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 42666272 is about 6531.9424369785. The cubic root of 42666272 is about 349.4311084753.

The spelling of 42666272 in words is "forty-two million, six hundred sixty-six thousand, two hundred seventy-two".