1072263815784 has 144 divisors (see below), whose sum is σ = 3379788512100. Its totient is φ = 306215046144.

The previous prime is 1072263815767. The next prime is 1072263815789. The reversal of 1072263815784 is 4875183622701.

1072263815784 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 2 + 63 + 8 + 1 + 578 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 997941060900 + 74322754884 = 998970^2 + 272622^2 .

It is a super-2 number, since 2×1072263815784² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1072263815784.

It is not an unprimeable number, because it can be changed into a prime (1072263815789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7439734 + ... + 7582490.

Almost surely, 2^{1072263815784} is an apocalyptic number.

1072263815784 is a gapful number since it is divisible by the number (14) 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 1072263815784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689894256050).

1072263815784 is an abundant number, since it is smaller than the sum of its proper divisors (2307524696316).

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

1072263815784 is a wasteful number, since it uses less digits than its factorization.

1072263815784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144912 (or 144898 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1072263815784 in words is "one trillion, seventy-two billion, two hundred sixty-three million, eight hundred fifteen thousand, seven hundred eighty-four".