4072887819 has 64 divisors (see below), whose sum is σ = 8101524480. Its totient is φ = 1953020160.

The previous prime is 4072887809. The next prime is 4072887821. The reversal of 4072887819 is 9187882704.

It is a happy number.

4072887819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4072887819 - 2⁷ = 4072887691 is a prime.

It is a super-2 number, since 2×4072887819² = 33176830372317153522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4072887809) 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, 48322 + ... + 102375.

It is an arithmetic number, because the mean of its divisors is an integer number (126586320).

Almost surely, 2^4072887819 is an apocalyptic number.

4072887819 is a deficient number, since it is larger than the sum of its proper divisors (4028636661).

4072887819 is a wasteful number, since it uses less digits than its factorization.

4072887819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150737 (or 150731 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 4072887819 is about 63819.1806512744. The cubic root of 4072887819 is about 1596.9849233216.

The spelling of 4072887819 in words is "four billion, seventy-two million, eight hundred eighty-seven thousand, eight hundred nineteen".