42272832 has 112 divisors (see below), whose sum is σ = 129917952. Its totient is φ = 11880960.

The previous prime is 42272831. The next prime is 42272837. The reversal of 42272832 is 23827224.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42272832.

It is not an unprimeable number, because it can be changed into a prime (42272831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95203 + ... + 95645.

Almost surely, 2^42272832 is an apocalyptic number.

42272832 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 42272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64958976).

42272832 is an abundant number, since it is smaller than the sum of its proper divisors (87645120).

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

42272832 is a wasteful number, since it uses less digits than its factorization.

42272832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 42272832 is about 6501.7560704782. The cubic root of 42272832 is about 348.3537161876.

The spelling of 42272832 in words is "forty-two million, two hundred seventy-two thousand, eight hundred thirty-two".