1024072192 has 160 divisors (see below), whose sum is σ = 2450093184. Its totient is φ = 421478400.

The previous prime is 1024072187. The next prime is 1024072193. The reversal of 1024072192 is 2912704201.

It is a self number, because there is not a number n which added to its sum of digits gives 1024072192.

It is not an unprimeable number, because it can be changed into a prime (1024072193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5198238 + ... + 5198434.

Almost surely, 2^1024072192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024072192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225046592).

1024072192 is an abundant number, since it is smaller than the sum of its proper divisors (1426020992).

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

1024072192 is a wasteful number, since it uses less digits than its factorization.

1024072192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1024072192 is about 32001.1279801197. The cubic root of 1024072192 is about 1007.9605258750.

Adding to 1024072192 its reverse (2912704201), we get a palindrome (3936776393).

The spelling of 1024072192 in words is "one billion, twenty-four million, seventy-two thousand, one hundred ninety-two".