42286720 has 64 divisors (see below), whose sum is σ = 115545600. Its totient is φ = 14496768.

The previous prime is 42286711. The next prime is 42286729. The reversal of 42286720 is 2768224.

It is an interprime number because it is at equal distance from previous prime (42286711) and next prime (42286729).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (42286729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240 + ... + 9199.

It is an arithmetic number, because the mean of its divisors is an integer number (1805400).

Almost surely, 2^42286720 is an apocalyptic number.

42286720 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 42286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57772800).

42286720 is an abundant number, since it is smaller than the sum of its proper divisors (73258880).

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

42286720 is an equidigital number, since it uses as much as digits as its factorization.

42286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9465 (or 9453 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 42286720 is about 6502.8240019241. The cubic root of 42286720 is about 348.3918605187.

The spelling of 42286720 in words is "forty-two million, two hundred eighty-six thousand, seven hundred twenty".