42209972 has 36 divisors (see below), whose sum is σ = 88712064. Its totient is φ = 17503920.

The previous prime is 42209971. The next prime is 42209977. The reversal of 42209972 is 27990224.

42209972 = T₁₂₈₈ + T₁₂₈₉ + ... + T₁₃₃₆.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42209971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2603 + ... + 9549.

It is an arithmetic number, because the mean of its divisors is an integer number (2464224).

Almost surely, 2^42209972 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 42209972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44356032).

42209972 is an abundant number, since it is smaller than the sum of its proper divisors (46502092).

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

42209972 is a wasteful number, since it uses less digits than its factorization.

42209972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 42209972 is about 6496.9201934455. The cubic root of 42209972 is about 348.1809623844.

The spelling of 42209972 in words is "forty-two million, two hundred nine thousand, nine hundred seventy-two".