42478272 has 84 divisors (see below), whose sum is σ = 126004320. Its totient is φ = 13665792.

The previous prime is 42478253. The next prime is 42478273. The reversal of 42478272 is 27287424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42478273) 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, 15433 + ... + 17975.

Almost surely, 2^42478272 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 42478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63002160).

42478272 is an abundant number, since it is smaller than the sum of its proper divisors (83526048).

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

42478272 is a wasteful number, since it uses less digits than its factorization.

42478272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2577 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 42478272 is about 6517.5357306270. The cubic root of 42478272 is about 348.9171211206.

The spelling of 42478272 in words is "forty-two million, four hundred seventy-eight thousand, two hundred seventy-two".