42718720 has 160 divisors (see below), whose sum is σ = 117554976. Its totient is φ = 14745600.

The previous prime is 42718699. The next prime is 42718721. The reversal of 42718720 is 2781724.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42718721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041900 + ... + 1041940.

Almost surely, 2^42718720 is an apocalyptic number.

42718720 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 42718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58777488).

42718720 is an abundant number, since it is smaller than the sum of its proper divisors (74836256).

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

42718720 is a wasteful number, since it uses less digits than its factorization.

42718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 42718720 is about 6535.9559362040. The cubic root of 42718720 is about 349.5742305676.

The spelling of 42718720 in words is "forty-two million, seven hundred eighteen thousand, seven hundred twenty".