42072330 has 64 divisors (see below), whose sum is σ = 107360640. Its totient is φ = 10531584.

The previous prime is 42072311. The next prime is 42072341. The reversal of 42072330 is 3327024.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42072297 and 42072306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31537 + ... + 32843.

It is an arithmetic number, because the mean of its divisors is an integer number (1677510).

Almost surely, 2^42072330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42072330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53680320).

42072330 is an abundant number, since it is smaller than the sum of its proper divisors (65288310).

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

42072330 is a wasteful number, since it uses less digits than its factorization.

42072330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383.

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 42072330 is about 6486.3186785726. The cubic root of 42072330 is about 347.8020905343.

Adding to 42072330 its reverse (3327024), we get a palindrome (45399354).

The spelling of 42072330 in words is "forty-two million, seventy-two thousand, three hundred thirty".