42052672 has 28 divisors (see below), whose sum is σ = 84600796. Its totient is φ = 20736000.

The previous prime is 42052657. The next prime is 42052687. The reversal of 42052672 is 27625024.

It is an interprime number because it is at equal distance from previous prime (42052657) and next prime (42052687).

It can be written as a sum of positive squares in 2 ways, for example, as 15178816 + 26873856 = 3896^2 + 5184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42052672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172 + ... + 9172.

It is an arithmetic number, because the mean of its divisors is an integer number (3021457).

Almost surely, 2^42052672 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 42052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42300398).

42052672 is an abundant number, since it is smaller than the sum of its proper divisors (42548124).

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

42052672 is an equidigital number, since it uses as much as digits as its factorization.

42052672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9086 (or 9076 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 42052672 is about 6484.8031581537. The cubic root of 42052672 is about 347.7479127359.

Adding to 42052672 its reverse (27625024), we get a palindrome (69677696).

It can be divided in two parts, 42052 and 672, that added together give a palindrome (42724).

The spelling of 42052672 in words is "forty-two million, fifty-two thousand, six hundred seventy-two".