42185720 has 64 divisors (see below), whose sum is σ = 100699200. Its totient is φ = 15877120.

The previous prime is 42185711. The next prime is 42185729. The reversal of 42185720 is 2758124.

It is an interprime number because it is at equal distance from previous prime (42185711) and next prime (42185729).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42185729) 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, 47117 + ... + 48003.

It is an arithmetic number, because the mean of its divisors is an integer number (1573425).

Almost surely, 2^42185720 is an apocalyptic number.

42185720 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 42185720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50349600).

42185720 is an abundant number, since it is smaller than the sum of its proper divisors (58513480).

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

42185720 is a wasteful number, since it uses less digits than its factorization.

42185720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 42185720 is about 6495.0535024740. The cubic root of 42185720 is about 348.1142664354.

The spelling of 42185720 in words is "forty-two million, one hundred eighty-five thousand, seven hundred twenty".