42301872 has 80 divisors (see below), whose sum is σ = 122318560. Its totient is φ = 13996800.

The previous prime is 42301823. The next prime is 42301937. The reversal of 42301872 is 27810324.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77922 + ... + 78462.

It is an arithmetic number, because the mean of its divisors is an integer number (1528982).

Almost surely, 2^42301872 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 42301872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61159280).

42301872 is an abundant number, since it is smaller than the sum of its proper divisors (80016688).

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

42301872 is a wasteful number, since it uses less digits than its factorization.

42301872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42301872 is about 6503.9889298799. The cubic root of 42301872 is about 348.4334669860.

The spelling of 42301872 in words is "forty-two million, three hundred one thousand, eight hundred seventy-two".