42117072 has 40 divisors (see below), whose sum is σ = 114531360. Its totient is φ = 13299840.

The previous prime is 42117067. The next prime is 42117079. The reversal of 42117072 is 27071124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42117079) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22179 + ... + 24002.

It is an arithmetic number, because the mean of its divisors is an integer number (2863284).

Almost surely, 2^42117072 is an apocalyptic number.

It is an amenable number.

42117072 is an abundant number, since it is smaller than the sum of its proper divisors (72414288).

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

42117072 is a wasteful number, since it uses less digits than its factorization.

42117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46211 (or 46205 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 42117072 is about 6489.7667138349. The cubic root of 42117072 is about 347.9253373977.

Adding to 42117072 its reverse (27071124), we get a palindrome (69188196).

The spelling of 42117072 in words is "forty-two million, one hundred seventeen thousand, seventy-two".