42174720 has 216 divisors, whose sum is σ = 167084736. Its totient is φ = 9621504.

The previous prime is 42174683. The next prime is 42174721. The reversal of 42174720 is 2747124.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (42174721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80379 + ... + 80901.

Almost surely, 2^42174720 is an apocalyptic number.

42174720 is a gapful number since it is divisible by the number (40) 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 42174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83542368).

42174720 is an abundant number, since it is smaller than the sum of its proper divisors (124910016).

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

42174720 is a wasteful number, since it uses less digits than its factorization.

42174720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 42174720 is about 6494.2066490065. The cubic root of 42174720 is about 348.0840066713.

The spelling of 42174720 in words is "forty-two million, one hundred seventy-four thousand, seven hundred twenty".