42622272 has 252 divisors, whose sum is σ = 157386528. Its totient is φ = 10713600.

The previous prime is 42622271. The next prime is 42622297. The reversal of 42622272 is 27222624.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42622271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1374897 + ... + 1374927.

Almost surely, 2^42622272 is an apocalyptic number.

42622272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42622272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78693264).

42622272 is an abundant number, since it is smaller than the sum of its proper divisors (114764256).

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

42622272 is a wasteful number, since it uses less digits than its factorization.

42622272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 54 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 42622272 is about 6528.5735042197. The cubic root of 42622272 is about 349.3109491060.

Adding to 42622272 its reverse (27222624), we get a palindrome (69844896).

The spelling of 42622272 in words is "forty-two million, six hundred twenty-two thousand, two hundred seventy-two".