42433272 has 96 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 11909952.

The previous prime is 42433271. The next prime is 42433273. The reversal of 42433272 is 27233424.

It is an interprime number because it is at equal distance from previous prime (42433271) and next prime (42433273).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29023 + ... + 30449.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^42433272 is an apocalyptic number.

42433272 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 42433272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

42433272 is an abundant number, since it is smaller than the sum of its proper divisors (91227528).

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

42433272 is a wasteful number, since it uses less digits than its factorization.

42433272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1498 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 42433272 is about 6514.0825908181. The cubic root of 42433272 is about 348.7938673767.

Adding to 42433272 its reverse (27233424), we get a palindrome (69666696).

The spelling of 42433272 in words is "forty-two million, four hundred thirty-three thousand, two hundred seventy-two".