4072576242 has 64 divisors (see below), whose sum is σ = 9922867200. Its totient is φ = 1088380800.

The previous prime is 4072576229. The next prime is 4072576271. The reversal of 4072576242 is 2426752704.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4072576242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30742 + ... + 95342.

It is an arithmetic number, because the mean of its divisors is an integer number (155044800).

Almost surely, 2^4072576242 is an apocalyptic number.

4072576242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072576242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961433600).

4072576242 is an abundant number, since it is smaller than the sum of its proper divisors (5850290958).

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

4072576242 is a wasteful number, since it uses less digits than its factorization.

4072576242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64711.

The product of its (nonzero) digits is 188160, while the sum is 39.

The square root of 4072576242 is about 63816.7395124508. The cubic root of 4072576242 is about 1596.9441990261.

The spelling of 4072576242 in words is "four billion, seventy-two million, five hundred seventy-six thousand, two hundred forty-two".