1072411392 has 144 divisors (see below), whose sum is σ = 3093618528. Its totient is φ = 327843840.

The previous prime is 1072411369. The next prime is 1072411397. The reversal of 1072411392 is 2931142701.

It is not an unprimeable number, because it can be changed into a prime (1072411397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2326042 + ... + 2326502.

It is an arithmetic number, because the mean of its divisors is an integer number (21483462).

Almost surely, 2^1072411392 is an apocalyptic number.

1072411392 is a gapful number since it is divisible by the number (12) 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 1072411392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546809264).

1072411392 is an abundant number, since it is smaller than the sum of its proper divisors (2021207136).

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

1072411392 is a wasteful number, since it uses less digits than its factorization.

1072411392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1072411392 is about 32747.6929263727. The cubic root of 1072411392 is about 1023.5768922570.

The spelling of 1072411392 in words is "one billion, seventy-two million, four hundred eleven thousand, three hundred ninety-two".