42972006 has 64 divisors (see below), whose sum is σ = 109486080. Its totient is φ = 10918560.

The previous prime is 42971963. The next prime is 42972023. The reversal of 42972006 is 60027924.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20725 + ... + 22703.

It is an arithmetic number, because the mean of its divisors is an integer number (1710720).

Almost surely, 2^42972006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42972006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54743040).

42972006 is an abundant number, since it is smaller than the sum of its proper divisors (66514074).

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

42972006 is a wasteful number, since it uses less digits than its factorization.

42972006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 42972006 is about 6555.3036542940. The cubic root of 42972006 is about 350.2637630807.

The spelling of 42972006 in words is "forty-two million, nine hundred seventy-two thousand, six".