42072765 has 64 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 18063360.

The previous prime is 42072763. The next prime is 42072781. The reversal of 42072765 is 56727024.

42072765 = T₂₈₁ + T₂₈₂ + ... + T₆₄₉.

It is not a de Polignac number, because 42072765 - 2¹ = 42072763 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42072763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124677 + ... + 125013.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^42072765 is an apocalyptic number.

It is an amenable number.

42072765 is a deficient number, since it is larger than the sum of its proper divisors (39696195).

42072765 is a wasteful number, since it uses less digits than its factorization.

42072765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422.

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 42072765 is about 6486.3522106034. The cubic root of 42072765 is about 347.8032892112.

Adding to 42072765 its reverse (56727024), we get a palindrome (98799789).

The spelling of 42072765 in words is "forty-two million, seventy-two thousand, seven hundred sixty-five".