42088672 has 24 divisors (see below), whose sum is σ = 83916000. Its totient is φ = 20776704.

The previous prime is 42088649. The next prime is 42088681. The reversal of 42088672 is 27688024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5797 + ... + 10852.

It is an arithmetic number, because the mean of its divisors is an integer number (3496500).

Almost surely, 2^42088672 is an apocalyptic number.

It is an amenable number.

42088672 is a deficient number, since it is larger than the sum of its proper divisors (41827328).

42088672 is a wasteful number, since it uses less digits than its factorization.

42088672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16738 (or 16730 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 42088672 is about 6487.5782846914. The cubic root of 42088672 is about 347.8471165329.

It can be divided in two parts, 4208 and 8672, that added together give a triangular number (12880 = T₁₆₀).

The spelling of 42088672 in words is "forty-two million, eighty-eight thousand, six hundred seventy-two".