1072126416 has 60 divisors (see below), whose sum is σ = 2895384128. Its totient is φ = 341829312.

The previous prime is 1072126397. The next prime is 1072126427. The reversal of 1072126416 is 6146212701.

1072126416 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×1072126416² = 2298910103770010112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4281 + ... + 46503.

Almost surely, 2^1072126416 is an apocalyptic number.

1072126416 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 1072126416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447692064).

1072126416 is an abundant number, since it is smaller than the sum of its proper divisors (1823257712).

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

1072126416 is a wasteful number, since it uses less digits than its factorization.

1072126416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42280 (or 42251 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1072126416 is about 32743.3415521385. The cubic root of 1072126416 is about 1023.4862178845.

The spelling of 1072126416 in words is "one billion, seventy-two million, one hundred twenty-six thousand, four hundred sixteen".