42660072 has 192 divisors, whose sum is σ = 150958080. Its totient is φ = 10561536.

The previous prime is 42660053. The next prime is 42660083. The reversal of 42660072 is 27006624.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111193 + ... + 111575.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^42660072 is an apocalyptic number.

42660072 is a gapful number since it is divisible by the number (42) 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 42660072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

42660072 is an abundant number, since it is smaller than the sum of its proper divisors (108298008).

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

42660072 is a wasteful number, since it uses less digits than its factorization.

42660072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42660072 is about 6531.4678289034. The cubic root of 42660072 is about 349.4141819295.

Adding to 42660072 its reverse (27006624), we get a palindrome (69666696).

The spelling of 42660072 in words is "forty-two million, six hundred sixty thousand, seventy-two".