42147072 has 108 divisors (see below), whose sum is σ = 132647424. Its totient is φ = 12764160.

The previous prime is 42147067. The next prime is 42147101. The reversal of 42147072 is 27074124.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24513 + ... + 26175.

Almost surely, 2^42147072 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 42147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66323712).

42147072 is an abundant number, since it is smaller than the sum of its proper divisors (90500352).

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

42147072 is a wasteful number, since it uses less digits than its factorization.

42147072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 42147072 is about 6492.0776335469. The cubic root of 42147072 is about 348.0079268904.

The spelling of 42147072 in words is "forty-two million, one hundred forty-seven thousand, seventy-two".