42083272 has 64 divisors (see below), whose sum is σ = 100310400. Its totient is φ = 16074240.

The previous prime is 42083267. The next prime is 42083273. The reversal of 42083272 is 27238024.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 42083272.

It is not an unprimeable number, because it can be changed into a prime (42083273) 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, 32004 + ... + 33292.

It is an arithmetic number, because the mean of its divisors is an integer number (1567350).

Almost surely, 2^42083272 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 42083272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50155200).

42083272 is an abundant number, since it is smaller than the sum of its proper divisors (58227128).

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

42083272 is a wasteful number, since it uses less digits than its factorization.

42083272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 42083272 is about 6487.1620913925. The cubic root of 42083272 is about 347.8322395705.

The spelling of 42083272 in words is "forty-two million, eighty-three thousand, two hundred seventy-two".