1072073553744 has 80 divisors (see below), whose sum is σ = 2848579964928. Its totient is φ = 347185552896.

The previous prime is 1072073553731. The next prime is 1072073553767. The reversal of 1072073553744 is 4473553702701.

It is a super-2 number, since 2×1072073553744² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1072073553693 and 1072073553702.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 756529 + ... + 1648175.

Almost surely, 2^{1072073553744} 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 1072073553744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424289982464).

1072073553744 is an abundant number, since it is smaller than the sum of its proper divisors (1776506411184).

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

1072073553744 is a wasteful number, since it uses less digits than its factorization.

1072073553744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892372 (or 892366 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 48.

The spelling of 1072073553744 in words is "one trillion, seventy-two billion, seventy-three million, five hundred fifty-three thousand, seven hundred forty-four".