42273504 has 144 divisors (see below), whose sum is σ = 148048992. Its totient is φ = 11142144.

The previous prime is 42273493. The next prime is 42273521. The reversal of 42273504 is 40537224.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25402 + ... + 27014.

It is an arithmetic number, because the mean of its divisors is an integer number (1028118).

Almost surely, 2^42273504 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 42273504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74024496).

42273504 is an abundant number, since it is smaller than the sum of its proper divisors (105775488).

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

42273504 is a wasteful number, since it uses less digits than its factorization.

42273504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42273504 is about 6501.8077486188. The cubic root of 42273504 is about 348.3555620733.

The spelling of 42273504 in words is "forty-two million, two hundred seventy-three thousand, five hundred four".