42496272 has 320 divisors, whose sum is σ = 159989760. Its totient is φ = 10492416.

The previous prime is 42496271. The next prime is 42496273. The reversal of 42496272 is 27269424.

42496272 is a `hidden beast` number, since 4 + 24 + 9 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42496271) and next prime (42496273).

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

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

It is not an unprimeable number, because it can be changed into a prime (42496271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904153 + ... + 904199.

It is an arithmetic number, because the mean of its divisors is an integer number (499968).

Almost surely, 2^42496272 is an apocalyptic number.

42496272 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 42496272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

42496272 is an abundant number, since it is smaller than the sum of its proper divisors (117493488).

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

42496272 is a wasteful number, since it uses less digits than its factorization.

42496272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42496272 is about 6518.9164743844. The cubic root of 42496272 is about 348.9663982449.

The spelling of 42496272 in words is "forty-two million, four hundred ninety-six thousand, two hundred seventy-two".