42705792 has 96 divisors (see below), whose sum is σ = 127534680. Its totient is φ = 14224896.

The previous prime is 42705791. The next prime is 42705797. The reversal of 42705792 is 29750724.

It is a tau number, because it is divible by the number of its divisors (96).

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 (42705791) 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, 30418 + ... + 31790.

Almost surely, 2^42705792 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 42705792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63767340).

42705792 is an abundant number, since it is smaller than the sum of its proper divisors (84828888).

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

42705792 is an equidigital number, since it uses as much as digits as its factorization.

42705792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 42705792 is about 6534.9668706123. The cubic root of 42705792 is about 349.5389630344.

The spelling of 42705792 in words is "forty-two million, seven hundred five thousand, seven hundred ninety-two".