42780672 has 144 divisors (see below), whose sum is σ = 135429840. Its totient is φ = 12902400.

The previous prime is 42780659. The next prime is 42780697. The reversal of 42780672 is 27608724.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202647 + ... + 202857.

It is an arithmetic number, because the mean of its divisors is an integer number (940485).

Almost surely, 2^42780672 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 42780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67714920).

42780672 is an abundant number, since it is smaller than the sum of its proper divisors (92649168).

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

42780672 is a wasteful number, since it uses less digits than its factorization.

42780672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 42780672 is about 6540.6935412080. The cubic root of 42780672 is about 349.7431367055.

The spelling of 42780672 in words is "forty-two million, seven hundred eighty thousand, six hundred seventy-two".