42072507 has 16 divisors (see below), whose sum is σ = 62916480. Its totient is φ = 27784296.

The previous prime is 42072491. The next prime is 42072539. The reversal of 42072507 is 70527024.

It is not a de Polignac number, because 42072507 - 2⁴ = 42072491 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (42072587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4393 + ... + 10170.

It is an arithmetic number, because the mean of its divisors is an integer number (3932280).

Almost surely, 2^42072507 is an apocalyptic number.

42072507 is a deficient number, since it is larger than the sum of its proper divisors (20843973).

42072507 is a wasteful number, since it uses less digits than its factorization.

42072507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14679 (or 14673 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 42072507 is about 6486.3323226612. The cubic root of 42072507 is about 347.8025782728.

It can be divided in two parts, 420 and 72507, that added together give a palindrome (72927).

The spelling of 42072507 in words is "forty-two million, seventy-two thousand, five hundred seven".