42765276 has 48 divisors (see below), whose sum is σ = 107049600. Its totient is φ = 13246272.

The previous prime is 42765259. The next prime is 42765277. The reversal of 42765276 is 67256724.

It is a happy number.

42765276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42765277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10315 + ... + 13853.

It is an arithmetic number, because the mean of its divisors is an integer number (2230200).

Almost surely, 2^42765276 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 42765276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53524800).

42765276 is an abundant number, since it is smaller than the sum of its proper divisors (64284324).

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

42765276 is a wasteful number, since it uses less digits than its factorization.

42765276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3616 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 42765276 is about 6539.5164958887. The cubic root of 42765276 is about 349.7011762347.

It can be divided in two parts, 427 and 65276, that added together give a triangular number (65703 = T₃₆₂).

The spelling of 42765276 in words is "forty-two million, seven hundred sixty-five thousand, two hundred seventy-six".