42714672 has 240 divisors, whose sum is σ = 151990272. Its totient is φ = 10160640.

The previous prime is 42714671. The next prime is 42714673. The reversal of 42714672 is 27641724.

It is an interprime number because it is at equal distance from previous prime (42714671) and next prime (42714673).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42714671) 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 47 ways as a sum of consecutive naturals, for example, 336273 + ... + 336399.

Almost surely, 2^42714672 is an apocalyptic number.

42714672 is a gapful number since it is divisible by the number (42) 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 42714672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75995136).

42714672 is an abundant number, since it is smaller than the sum of its proper divisors (109275600).

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

42714672 is a wasteful number, since it uses less digits than its factorization.

42714672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 42714672 is about 6535.6462572572. The cubic root of 42714672 is about 349.5631884048.

The spelling of 42714672 in words is "forty-two million, seven hundred fourteen thousand, six hundred seventy-two".