42722784 has 72 divisors (see below), whose sum is σ = 130849992. Its totient is φ = 13144320.

The previous prime is 42722783. The next prime is 42722807. The reversal of 42722784 is 48722724.

42722784 is a `hidden beast` number, since 427 + 227 + 8 + 4 = 666.

42722784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (42722783) 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 11 ways as a sum of consecutive naturals, for example, 1962 + ... + 9449.

It is an arithmetic number, because the mean of its divisors is an integer number (1817361).

Almost surely, 2^42722784 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 42722784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65424996).

42722784 is an abundant number, since it is smaller than the sum of its proper divisors (88127208).

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

42722784 is a wasteful number, since it uses less digits than its factorization.

42722784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11440 (or 11429 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 42722784 is about 6536.2668244190. The cubic root of 42722784 is about 349.5853156736.

It can be divided in two parts, 4272 and 2784, that added together give a square (7056 = 84²).

The spelling of 42722784 in words is "forty-two million, seven hundred twenty-two thousand, seven hundred eighty-four".