1072399824 has 160 divisors (see below), whose sum is σ = 3282230400. Its totient is φ = 338442624.

The previous prime is 1072399777. The next prime is 1072399849. The reversal of 1072399824 is 4289932701.

It is a self number, because there is not a number n which added to its sum of digits gives 1072399824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664042 + ... + 665654.

It is an arithmetic number, because the mean of its divisors is an integer number (20513940).

Almost surely, 2^1072399824 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 1072399824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641115200).

1072399824 is an abundant number, since it is smaller than the sum of its proper divisors (2209830576).

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

1072399824 is an equidigital number, since it uses as much as digits as its factorization.

1072399824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1072399824 is about 32747.5163027671. The cubic root of 1072399824 is about 1023.5732118348.

The spelling of 1072399824 in words is "one billion, seventy-two million, three hundred ninety-nine thousand, eight hundred twenty-four".