42872352 has 48 divisors (see below), whose sum is σ = 113984640. Its totient is φ = 14107392.

The previous prime is 42872339. The next prime is 42872359. The reversal of 42872352 is 25327824.

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

It is not an unprimeable number, because it can be changed into a prime (42872359) 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, 4758 + ... + 10410.

It is an arithmetic number, because the mean of its divisors is an integer number (2374680).

Almost surely, 2^42872352 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 42872352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56992320).

42872352 is an abundant number, since it is smaller than the sum of its proper divisors (71112288).

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

42872352 is a wasteful number, since it uses less digits than its factorization.

42872352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745 (or 5737 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 42872352 is about 6547.6982215127. The cubic root of 42872352 is about 349.9927944095.

The spelling of 42872352 in words is "forty-two million, eight hundred seventy-two thousand, three hundred fifty-two".