42258672 has 70 divisors (see below), whose sum is σ = 122791992. Its totient is φ = 14082336.

The previous prime is 42258661. The next prime is 42258721. The reversal of 42258672 is 27685224.

42258672 is a `hidden beast` number, since 4 + 2 + 2 + 586 + 72 = 666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9853 + ... + 13475.

Almost surely, 2^42258672 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 42258672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61395996).

42258672 is an abundant number, since it is smaller than the sum of its proper divisors (80533320).

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

42258672 is an equidigital number, since it uses as much as digits as its factorization.

42258672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3628 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 42258672 is about 6500.6670426965. The cubic root of 42258672 is about 348.3148161876.

The spelling of 42258672 in words is "forty-two million, two hundred fifty-eight thousand, six hundred seventy-two".