1072745856 has 384 divisors, whose sum is σ = 3950419200. Its totient is φ = 282175488.

The previous prime is 1072745831. The next prime is 1072745879. The reversal of 1072745856 is 6585472701.

It is a tau number, because it is divible by the number of its divisors (384).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830275 + ... + 2830653.

It is an arithmetic number, because the mean of its divisors is an integer number (10287550).

Almost surely, 2^1072745856 is an apocalyptic number.

1072745856 is a gapful number since it is divisible by the number (16) 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 1072745856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975209600).

1072745856 is an abundant number, since it is smaller than the sum of its proper divisors (2877673344).

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

1072745856 is an equidigital number, since it uses as much as digits as its factorization.

1072745856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 1072745856 is about 32752.7992086173. The cubic root of 1072745856 is about 1023.6832923567.

The spelling of 1072745856 in words is "one billion, seventy-two million, seven hundred forty-five thousand, eight hundred fifty-six".