42345072 has 320 divisors, whose sum is σ = 161894400. Its totient is φ = 10264320.

The previous prime is 42345071. The next prime is 42345089. The reversal of 42345072 is 27054324.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42345071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631983 + ... + 632049.

It is an arithmetic number, because the mean of its divisors is an integer number (505920).

Almost surely, 2^42345072 is an apocalyptic number.

42345072 is a gapful number since it is divisible by the number (42) 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 42345072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80947200).

42345072 is an abundant number, since it is smaller than the sum of its proper divisors (119549328).

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

42345072 is a wasteful number, since it uses less digits than its factorization.

42345072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42345072 is about 6507.3091212882. The cubic root of 42345072 is about 348.5520370318.

Adding to 42345072 its reverse (27054324), we get a palindrome (69399396).

The spelling of 42345072 in words is "forty-two million, three hundred forty-five thousand, seventy-two".