1072242819 has 64 divisors (see below), whose sum is σ = 1793249280. Its totient is φ = 629544960.

The previous prime is 1072242817. The next prime is 1072242833. The reversal of 1072242819 is 9182422701.

1072242819 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 1072242819 - 2¹ = 1072242817 is a prime.

It is a super-2 number, since 2×1072242819² = 2299409325794133522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072242817) 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, 495099 + ... + 497259.

It is an arithmetic number, because the mean of its divisors is an integer number (28019520).

Almost surely, 2^1072242819 is an apocalyptic number.

1072242819 is a deficient number, since it is larger than the sum of its proper divisors (721006461).

1072242819 is a wasteful number, since it uses less digits than its factorization.

1072242819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1072242819 is about 32745.1190103197. The cubic root of 1072242819 is about 1023.5232572215.

The spelling of 1072242819 in words is "one billion, seventy-two million, two hundred forty-two thousand, eight hundred nineteen".