1072716440 has 64 divisors (see below), whose sum is σ = 2546316000. Its totient is φ = 405596160.

The previous prime is 1072716433. The next prime is 1072716451. The reversal of 1072716440 is 446172701.

It is a junction number, because it is equal to n+sod(n) for n = 1072716397 and 1072716406.

It is a congruent number.

It is an unprimeable number.

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, 409856 + ... + 412464.

Almost surely, 2^1072716440 is an apocalyptic number.

1072716440 is a gapful number since it is divisible by the number (10) 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 1072716440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273158000).

1072716440 is an abundant number, since it is smaller than the sum of its proper divisors (1473599560).

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

1072716440 is a wasteful number, since it uses less digits than its factorization.

1072716440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 1072716440 is about 32752.3501446843. The cubic root of 1072716440 is about 1023.6739353896.

The spelling of 1072716440 in words is "one billion, seventy-two million, seven hundred sixteen thousand, four hundred forty".