42019072 has 36 divisors (see below), whose sum is σ = 84507136. Its totient is φ = 20851200.

The previous prime is 42019069. The next prime is 42019097. The reversal of 42019072 is 27091024.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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, 38113 + ... + 39199.

Almost surely, 2^42019072 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 42019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42253568).

42019072 is an abundant number, since it is smaller than the sum of its proper divisors (42488064).

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

42019072 is a wasteful number, since it uses less digits than its factorization.

42019072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 42019072 is about 6482.2119681479. The cubic root of 42019072 is about 347.6552714315.

The spelling of 42019072 in words is "forty-two million, nineteen thousand, seventy-two".