42207072 has 48 divisors (see below), whose sum is σ = 111625920. Its totient is φ = 13963392.

The previous prime is 42207049. The next prime is 42207083. The reversal of 42207072 is 27070224.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11763 + ... + 14925.

It is an arithmetic number, because the mean of its divisors is an integer number (2325540).

Almost surely, 2^42207072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42207072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55812960).

42207072 is an abundant number, since it is smaller than the sum of its proper divisors (69418848).

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

42207072 is a wasteful number, since it uses less digits than its factorization.

42207072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3307 counting only the distinct ones).

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

The square root of 42207072 is about 6496.6970069413. The cubic root of 42207072 is about 348.1729883768.

Adding to 42207072 its reverse (27070224), we get a palindrome (69277296).

It can be divided in two parts, 4 and 2207072, that multiplied together give a palindrome (8828288).

The spelling of 42207072 in words is "forty-two million, two hundred seven thousand, seventy-two".