42767712 has 72 divisors (see below), whose sum is σ = 130987584. Its totient is φ = 13158144.

The previous prime is 42767653. The next prime is 42767713. The reversal of 42767712 is 21776724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42767713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1968 + ... + 9455.

It is an arithmetic number, because the mean of its divisors is an integer number (1819272).

Almost surely, 2^42767712 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 42767712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65493792).

42767712 is an abundant number, since it is smaller than the sum of its proper divisors (88219872).

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

42767712 is a wasteful number, since it uses less digits than its factorization.

42767712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11452 (or 11441 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 42767712 is about 6539.7027455382. The cubic root of 42767712 is about 349.7078160133.

The spelling of 42767712 in words is "forty-two million, seven hundred sixty-seven thousand, seven hundred twelve".