42615072 has 120 divisors (see below), whose sum is σ = 128706732. Its totient is φ = 13824000.

The previous prime is 42615061. The next prime is 42615091. The reversal of 42615072 is 27051624.

42615072 is a `hidden beast` number, since 42 + 615 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 156816 = 6516^2 + 396^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106072 + ... + 106472.

Almost surely, 2^42615072 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 42615072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64353366).

42615072 is an abundant number, since it is smaller than the sum of its proper divisors (86091660).

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

42615072 is a wasteful number, since it uses less digits than its factorization.

42615072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42615072 is about 6528.0220587863. The cubic root of 42615072 is about 349.2912787917.

Adding to 42615072 its reverse (27051624), we get a palindrome (69666696).

The spelling of 42615072 in words is "forty-two million, six hundred fifteen thousand, seventy-two".