42472720 has 80 divisors (see below), whose sum is σ = 105743232. Its totient is φ = 15825920.

The previous prime is 42472709. The next prime is 42472721. The reversal of 42472720 is 2727424.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42472721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75159 + ... + 75721.

Almost surely, 2^42472720 is an apocalyptic number.

42472720 is a gapful number since it is divisible by the number (40) 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 42472720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52871616).

42472720 is an abundant number, since it is smaller than the sum of its proper divisors (63270512).

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

42472720 is a wasteful number, since it uses less digits than its factorization.

42472720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The square root of 42472720 is about 6517.1097888558. The cubic root of 42472720 is about 348.9019190563.

The spelling of 42472720 in words is "forty-two million, four hundred seventy-two thousand, seven hundred twenty".