42027072 has 112 divisors (see below), whose sum is σ = 120164352. Its totient is φ = 12925440.

The previous prime is 42027059. The next prime is 42027113. The reversal of 42027072 is 27072024.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136743 + ... + 137049.

It is an arithmetic number, because the mean of its divisors is an integer number (1072896).

Almost surely, 2^42027072 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 42027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60082176).

42027072 is an abundant number, since it is smaller than the sum of its proper divisors (78137280).

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

42027072 is a wasteful number, since it uses less digits than its factorization.

42027072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 42027072 is about 6482.8290120903. The cubic root of 42027072 is about 347.6773333631.

Adding to 42027072 its reverse (27072024), we get a palindrome (69099096).

The spelling of 42027072 in words is "forty-two million, twenty-seven thousand, seventy-two".