42306720 has 96 divisors (see below), whose sum is σ = 135862272. Its totient is φ = 11062272.

The previous prime is 42306713. The next prime is 42306731. The reversal of 42306720 is 2760324.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24609 + ... + 26271.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 2^42306720 is an apocalyptic number.

42306720 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 42306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

42306720 is an abundant number, since it is smaller than the sum of its proper divisors (93555552).

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

42306720 is a wasteful number, since it uses less digits than its factorization.

42306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 42306720 is about 6504.3616135636. The cubic root of 42306720 is about 348.4467772001.

The spelling of 42306720 in words is "forty-two million, three hundred six thousand, seven hundred twenty".