42735625 has 20 divisors (see below), whose sum is σ = 54010836. Its totient is φ = 33800000.

The previous prime is 42735619. The next prime is 42735673. The reversal of 42735625 is 52653724.

It can be written as a sum of positive squares in 10 ways, for example, as 7166329 + 35569296 = 2677^2 + 5964^2 .

It is not a de Polignac number, because 42735625 - 2¹⁷ = 42604553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62787 + ... + 63463.

Almost surely, 2^42735625 is an apocalyptic number.

It is an amenable number.

42735625 is a deficient number, since it is larger than the sum of its proper divisors (11275211).

42735625 is an equidigital number, since it uses as much as digits as its factorization.

42735625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 783 counting only the distinct ones).

The product of its digits is 50400, while the sum is 34.

The square root of 42735625 is about 6537.2490391601. The cubic root of 42735625 is about 349.6203366074.

The spelling of 42735625 in words is "forty-two million, seven hundred thirty-five thousand, six hundred twenty-five".