42672096 has 120 divisors (see below), whose sum is σ = 127517544. Its totient is φ = 13996800.

The previous prime is 42672067. The next prime is 42672101. The reversal of 42672096 is 69027624.

It is a happy number.

42672096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42672096.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 261711 + ... + 261873.

Almost surely, 2^42672096 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 42672096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63758772).

42672096 is an abundant number, since it is smaller than the sum of its proper divisors (84845448).

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

42672096 is a wasteful number, since it uses less digits than its factorization.

42672096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42672096 is about 6532.3882309612. The cubic root of 42672096 is about 349.4470070144.

The spelling of 42672096 in words is "forty-two million, six hundred seventy-two thousand, ninety-six".