1072743728 has 40 divisors (see below), whose sum is σ = 2387347200. Its totient is φ = 457427520.

The previous prime is 1072743719. The next prime is 1072743731. The reversal of 1072743728 is 8273472701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1778 + ... + 46353.

It is an arithmetic number, because the mean of its divisors is an integer number (59683680).

Almost surely, 2^1072743728 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 1072743728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193673600).

1072743728 is an abundant number, since it is smaller than the sum of its proper divisors (1314603472).

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

1072743728 is a wasteful number, since it uses less digits than its factorization.

1072743728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48345 (or 48339 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 1072743728 is about 32752.7667228282. The cubic root of 1072743728 is about 1023.6826154646.

The spelling of 1072743728 in words is "one billion, seventy-two million, seven hundred forty-three thousand, seven hundred twenty-eight".