42272080 has 20 divisors (see below), whose sum is σ = 98282772. Its totient is φ = 16908800.

The previous prime is 42272071. The next prime is 42272089. The reversal of 42272080 is 8027224.

It is an interprime number because it is at equal distance from previous prime (42272071) and next prime (42272089).

It can be written as a sum of positive squares in 2 ways, for example, as 30603024 + 11669056 = 5532^2 + 3416^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42272089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 264121 + ... + 264280.

Almost surely, 2^42272080 is an apocalyptic number.

42272080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42272080 is an abundant number, since it is smaller than the sum of its proper divisors (56010692).

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

42272080 is a wasteful number, since it uses less digits than its factorization.

42272080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528414 (or 528408 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 42272080 is about 6501.6982396909. The cubic root of 42272080 is about 348.3516505303.

The spelling of 42272080 in words is "forty-two million, two hundred seventy-two thousand, eighty".