42672993 has 16 divisors (see below), whose sum is σ = 65337600. Its totient is φ = 24500880.

The previous prime is 42672979. The next prime is 42673021. The reversal of 42672993 is 39927624.

It is a happy number.

It is not a de Polignac number, because 42672993 - 2⁵ = 42672961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42672913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33403 + ... + 34656.

It is an arithmetic number, because the mean of its divisors is an integer number (4083600).

Almost surely, 2^42672993 is an apocalyptic number.

It is an amenable number.

42672993 is a deficient number, since it is larger than the sum of its proper divisors (22664607).

42672993 is a wasteful number, since it uses less digits than its factorization.

42672993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68092.

The product of its digits is 163296, while the sum is 42.

The square root of 42672993 is about 6532.4568884915. The cubic root of 42672993 is about 349.4494555448.

It can be divided in two parts, 4267 and 2993, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 42672993 in words is "forty-two million, six hundred seventy-two thousand, nine hundred ninety-three".