42702720 has 128 divisors (see below), whose sum is σ = 142179840. Its totient is φ = 10881024.

The previous prime is 42702713. The next prime is 42702721. The reversal of 42702720 is 2720724.

It is a tau number, because it is divible by the number of its divisors (128).

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 (42702721) 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 15 ways as a sum of consecutive naturals, for example, 43677 + ... + 44643.

It is an arithmetic number, because the mean of its divisors is an integer number (1110780).

Almost surely, 2^42702720 is an apocalyptic number.

42702720 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 42702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71089920).

42702720 is an abundant number, since it is smaller than the sum of its proper divisors (99477120).

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

42702720 is a wasteful number, since it uses less digits than its factorization.

42702720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 42702720 is about 6534.7318231126. The cubic root of 42702720 is about 349.5305815840.

The spelling of 42702720 in words is "forty-two million, seven hundred two thousand, seven hundred twenty".